Review: 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 the inequality: 8 + 4x > 24

Back

x > 4

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'.

Front

Solve the inequality: 25 < X - 10

Back

X > 35

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

Solve the inequality: -169 ≤ 8m - 9

Back

m ≥ -20

Front

What is the first step to solve the inequality: -3 ≥ (n/3) - 7?

Back

Add 7 to both sides to isolate the term with n.

Front

Solve the inequality: 77 ≤ 5 + 8n

Back

n ≥ 9

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

How do you graph the solution of an inequality on a number line?

Back

Use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Shade the region that represents the solution.