One-step Inequalities

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

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality -3 ≥ x - 1?

Back

Add 1 to both sides: -2 ≥ x, or x ≤ -2.

Front

What is the solution to the inequality -8x < 48?

Back

Divide both sides by -8 (remember to flip the inequality): x > -6.

Front

How do you solve k/-12 ≤ -7?

Back

Multiply both sides by -12 (flip the inequality): k ≥ 84.

Front

When do you flip the inequality sign?

Back

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

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

Add 3 to both sides: 13 ≥ x, or x ≤ 13.

Front

What is the first step in solving the inequality 3x ≥ 12?

Back

Divide both sides by 3: x ≥ 4.

Front

What does it mean if x < 5?

Back

It means that x can be any number less than 5.