Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality): x ≥ -10.

Front

How do you solve the inequality 8x - 19 < 13?

Back

Add 19 to both sides: 8x < 32. Then divide by 8: x < 4.

Front

How do you solve the inequality -7 + 10z > -27?

Back

Add 7 to both sides: 10z > -20. Then divide by 10: z > -2.

Front

How do you solve the inequality 6 - 2h > 30?

Back

Subtract 6 from both sides: -2h > 24. Then divide by -2 (remember to flip the inequality): h < -12.

Front

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

Back

Subtract 9 from both sides: s ≥ -34.

Front

What is the solution set for the inequality x ≥ -10?

Back

The solution set includes all real numbers greater than or equal to -10.

Front

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

Back

The solution set includes all real numbers less than 4.