Solving Multistep Inequalities

Front

Solve the inequality: 4(5x + 2) ≤ 28

Back

x ≤ 1

Front

Solve the inequality: -2(5 + 6n) < 6(8 − 2n)

Back

infinite solution

Front

Your taxi fare is $2.50 per mile, plus a $5 fee. You cannot exceed $20. Which inequality models this scenario?

Back

2.50x + 5 ≤ 20

Front

Solve the inequality: 28 − k ≥ 7(k − 4)

Back

k ≤ 7

Front

Solve the inequality: 6x + 2 < 14

Back

x < 1

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What is the first step in solving a multistep inequality?

Back

The first step is to simplify both sides of the inequality if possible.

Front

What is the importance of reversing the inequality sign?

Back

The inequality sign must be reversed when multiplying or dividing both sides by a negative number.