Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is larger or smaller than 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 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

The inequality sign flips when you multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality: -2x + 3(-4x + 6) ≤ 116

Back

x ≥ -7

Front

Solve the inequality: 4x - 10 ≤ 22

Back

x ≤ 8

Front

Does the sign need to flip when solving 8y < -40?

Back

NO

Front

Solve the inequality: 4x - 3 < -1x + 12

Back

x < 3

Front

Solve the inequality: 3(x - 3) ≤ 2(x + 2)

Back

x ≤ 13

Front

What is the graphical representation of an inequality?

Back

The graphical representation of an inequality is shown on a number line, where the solution set is indicated by shading and an open or closed dot.