One and Two Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

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 difference between a one-step and a two-step inequality?

Back

A one-step inequality requires one operation to isolate the variable, while a two-step inequality requires two operations.

Front

Solve for r: r/5 - 15 = 18

Back

r = 165

Front

Solve for x: x - 8 = -5

Back

x = 3

Front

Solve for t: 6t + 4 ≤ -2

Back

t ≤ -1

Front

When do you flip the inequality sign?

Back

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

Front

Is the following statement true or false? -3x ≥ 12 requires flipping the sign when solving for x.

Back

True

Front

What is the solution set for the inequality x + 4 < 10?

Back

x < 6

Front

What does the symbol '≥' mean?

Back

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