Solving 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 10 ≥ x - 3?

Back

Add 3 to both sides: 10 + 3 ≥ x, which simplifies to 13 ≥ x or x ≤ 13.

Front

What is the solution to the inequality -5m < 10?

Back

Divide both sides by -5 (remember to flip the inequality): m > -2.

Front

What does the number line graph representing x ≥ 3 look like?

Back

It includes all numbers to the right of 3, including 3 itself.

Front

How do you solve the inequality -2x + 3 > -7?

Back

Subtract 3 from both sides: -2x > -10, then divide by -2 (flip the inequality): x < 5.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips.

Front

What is the solution to the inequality 2x + 3 ≥ 13?

Back

Subtract 3 from both sides: 2x ≥ 10, then divide by 2: x ≥ 5.

Front

What does the inequality x < -3 represent on a number line?

Back

It includes all numbers to the left of -3, not including -3.