What is the solution set of an inequality?

The set of all values that satisfy the inequality.

How do you graph an inequality on a number line?

Use an open circle for and a closed circle for ≤ or ≥.

What is the difference between strict and non-strict inequalities?

Strict inequalities ( ) do not include the boundary, while non-strict inequalities (≤, ≥) do.

What does it mean to isolate the variable in an inequality?

To manipulate the inequality so that the variable is on one side and all other terms are on the other side.

What is a compound inequality?

An inequality that combines two or more inequalities, often connected by 'and' or 'or'.

Solving inequalities Flashcards: 15 Cards (8th Grade)

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the first step when solving the inequality $3(1-2x)>3-6x$ ?

Back

Get rid of parentheses.

2.

FLASHCARD QUESTION

Front

What is the first step when solving the inequality $-1-6x-6>-11-7x$ ?

Back

Combine like terms.

3.

FLASHCARD QUESTION

Front

What happens to the inequality sign when you divide by a negative number?

Back

The inequality sign flips.

4.

FLASHCARD QUESTION

Front

If you divide an inequality with a less than sign by -3, what inequality sign would it change to?

Back

$>$ .

5.

FLASHCARD QUESTION

Front

Solve the inequality $\frac{1}{2}a-7<\frac{2}{3}a-9$ .

Back

$a>12$ .

6.

FLASHCARD QUESTION

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality signs such as <, >, ≤, or ≥.

7.

FLASHCARD QUESTION

Front

What does the symbol $<$ represent?

Back

It represents 'less than'.

8.

FLASHCARD QUESTION

Front

What does the symbol $>$ represent?

Back

It represents 'greater than'.

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