**difference**is with “or”, x only needs to satisfy one of the

**inequalities**. With “and”, x needs to satisfy both. It turns out x=7 satisfies the

**compound inequality**. This is because x satisfies the first

**inequality**7>6.

Consequently, what does and and/or mean in compound inequalities?

**Compound Inequalities**. A **compound inequality** is a sentence with two **inequality** statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the **compound** sentence are true at the same time. It **is the** overlap or intersection of the solution sets for the individual statements.

Subsequently, question is, are absolute value inequalities AND or OR? This pattern for “greater than” **absolute**–**value inequalities** always holds: Given the **inequality** | x | > a, the solution always starts by splitting the **inequality** into two pieces: x < –a or x > a. And, by the way, the correct conjunction is “or”, not “and”.

Consequently, how do you tell if a compound inequality is AND or OR?

A **compound inequality** contains at least two **inequalities** that are separated by either “and” or “or”. The graph of a **compound inequality** with an “and” represents the intersection of the graph of the **inequalities**. A number is a solution to the **compound inequality if** the number is a solution to both **inequalities**.

How do you solve and/or inequalities?

To **solve** a compound **inequality**, first separate it into two **inequalities**. Determine whether the answer should be a union of sets (“or”) or an intersection of sets (“and”). Then, **solve** both **inequalities** and graph.

###
What is the difference between and and/or in math?

**difference**is with “or”, x only needs to satisfy one of the inequalities. With “and”, x needs to satisfy both. For an example with “and”, try “x<7 and x>1.” For x to qualify it must satisfy both inequalities.

###
What are the similarities and differences between equations and inequalities?

**equation**is a mathematical statement that shows the equal value of two expressions while an

**inequality**is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An

**equation**shows the equality of two variables while an

**inequality**shows the

**inequality**of two variables.

###
What is the definition of compound inequality?

**compound inequality**is an equation with two or more

**inequalities**joined together with either “and” or “or” (for example, and ; or ). When two

**inequalities**are joined with and, they are often written simply as a double

**inequality**, like: .

###
What is an example of a compound inequality?

**compound inequality**that uses or to combine two

**inequalities**. For

**example**, x > 6 or x < 2. The solution to this

**compound inequality**is all the values of x in which x is either greater than 6 or x is less than 2. Everything else on the graph is a solution to this

**compound inequality**.

###
Is greater than AND or OR?

What

**Are Greater Than**and Less

**Than**Signs For?

Symbol | Meaning |
---|---|

> | Greater than—the number on the left is greater than the number on the right; 3 > 2 |

###
How can you tell if an inequality will have a solid line?

**If**the

**inequality**is < or >, graph the equation as a

**dotted line**.

**If**the

**inequality**is ≤ or ≥, graph the equation as a

**solid line**. This

**line**divides the xy- plane into two regions: a region

**that**satisfies the

**inequality**, and a region

**that**does not. Next, pick a point not on the

**line**.

###
How do functions work?

**function**is an equation that has only one answer for y for every x. A

**function**assigns exactly one output to each input of a specified type. It is common to name a

**function**either f(x) or g(x) instead of y. f(2) means that we should find the value of our

**function**when x equals 2.

###
What are the rules for absolute value?

**absolute value**of a number, we always end up with a positive number (or zero). Whether the input was positive or negative (or zero), the output is always positive (or zero). For instance, | 3 | = 3, and | –3 | = 3 also.

###
How do you do absolute value?

**SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)**

- Step 1: Isolate the absolute value expression.
- Step2: Set the quantity inside the absolute value notation equal to + and – the quantity on the other side of the equation.
- Step 3: Solve for the unknown in both equations.
- Step 4: Check your answer analytically or graphically.

###
How do you write absolute value?

**Absolute Value**Sign

On most computer keyboards, you can find the “|” symbol above the backslash, which looks like “”. To **type** it, simply hold down the shift key and strike the backslash key.

###
How do you know if an inequality is a conjunction or disjunction?

**If**it is a

**conjunction that**uses the word and, the solution must work in both

**inequalities**and the solution is in the overlap region of the graph.

**If**it is a

**disjunction that**uses the word or, the solution must work in either one of the equations.

###
How do you solve system of equations?

**Here’s how it goes:**

- Step 1: Solve one of the equations for one of the variables. Let’s solve the first equation for y:
- Step 2: Substitute that equation into the other equation, and solve for x.
- Step 3: Substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

###
How do you find the absolute value inequality?

**Here are the steps to follow when solving absolute value inequalities:**

- Isolate the absolute value expression on the left side of the inequality.
- If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.

###
Who created absolute value?

###
What are the rules for inequalities?

**Rules for Operations on Inequalities**

- If a < b, then a + c < b + c.
- If a < b, then a – c < b – c.
- If a < b and if c is a positive number, then a · c < b · c.
- If a < b and if c is a positive number, then.
- If a < b and if c is a negative number, then a · c > b · c.
- If a < b and if c is a negative number, then.

###
What are some examples of inequalities?

**examples**of social

**inequality**include income gap, gender

**inequality**, health care, and social class. In health care,

**some**individuals receive better and more professional care compared to others. They are also expected to pay more for these services.

###
What is the formula for solving inequalities?

**inequality**: Add (or subtract) a number from both sides. Multiply (or divide) both sides by a positive number. Simplify a side.

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