8/12 Inequalities Opener

Front

Solve the inequality: 38 - 7x ≤ 2 - 7(x - 3)

Back

no solution

Front

Solve the inequality: -3(1 + 3k) ≤ -33 - 4k

Back

k ≥ 6

Front

Solve the inequality: -2r - 29 ≥ -3(r + 7) + 2r

Back

r ≤ -8

Front

Solve the inequality: 7(1 + 6x) > 7 - 7x

Back

x > 0

Front

Solve the inequality: -39 - 7b ≥ -4b - 3(4 + 4b)

Back

b ≤ 3

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

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

Back

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.