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

'≥' 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(y+5)≥21?

Back

First, distribute: 3y + 15 ≥ 21. Then, subtract 15: 3y ≥ 6. Finally, divide by 3: y ≥ 2.

Front

What is the solution to the inequality 6 - 2h > 30?

Back

Subtract 6: -2h > 24. Divide by -2 (remember to flip the inequality): h < -12.

Front

How do you solve the inequality 7b - 3 < 11?

Back

Add 3: 7b < 14. Divide by 7: b < 2.

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

Add 2: 4x ≤ -20. Divide by 4: x ≤ -5.

Front

How do you solve the inequality s + 9 ≥ -25?

Back

Subtract 9: s ≥ -34.

Front

What is the first step in solving the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8.

Front

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

Back

The inequality sign flips direction.