Two-Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It often involves addition or subtraction followed by multiplication or division.

Front

Solve: 3x + 2 > 14

Back

x > 4

Front

Solve for t: 6t + 4 ≤ -2

Back

t ≤ -1

Front

Solve for k: 7k - 2 ≥ -9

Back

k ≥ -1

Front

What does it mean when an inequality is graphed?

Back

Graphing an inequality shows all the possible solutions on a number line, indicating where the variable satisfies the inequality.

Front

Solve: -4x + 14 ≤ 54

Back

x ≥ -10

Front

What is the first step in solving a two-step inequality?

Back

The first step is to isolate the term with the variable by performing the opposite operation (addition or subtraction) on both sides of the inequality.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

Solve: 5n - 3 < 12

Back

n < 3

Front

What is the solution set of an inequality?

Back

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