Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What is the solution to the inequality 30x + 600 ≥ 1500?

Back

x ≥ 30.

Front

What does the inequality x < 4 represent on a number line?

Back

It represents all numbers less than 4, not including 4.

Front

How do you graph the inequality x ≥ -4?

Back

Draw a number line, place a closed dot on -4, and shade to the right.

Front

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

Back

x ≤ 13.

Front

What does the inequality -2x + 6 > -2 mean?

Back

It means that -2x is greater than -8, or x < 4.

Front

How do you isolate x in the inequality 2x - 3 > 5?

Back

Add 3 to both sides and then divide by 2: x > 4.