Solving Inequalities One Variable

Front

Solve the inequality: -3x + 1 ≤ 13

Back

x ≥ -4

Front

Solve the inequality: 3(x - 1) ≥ -9

Back

x ≥ -2

Front

Solve the inequality: -2x > -10

Back

x < 5

Front

Solve the inequality: 2n + 4 < 16

Back

n < 6

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 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 solution set of an inequality?

Back

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

Front

How do you graph an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the region that represents the solution set.

Front

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

Back

The inequality sign flips direction.

Front

What is the difference between ≤ and

Back

≤ includes the endpoint in the solution set, while < does not.