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 in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

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

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

How do you solve the inequality 4x - 2 ≤ -22?

Back

Add 2 to both sides: 4x ≤ -20. Then divide by 4: x ≤ -5.

Front

What is a solution to the inequality 5 + j > 8 when j = 7?

Back

Yes, because 5 + 7 = 12, which is greater than 8.

Front

How do you solve the inequality 8x ≥ -32?

Back

Divide both sides by 8: x ≥ -4.