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 -2x + 8 ≥ 12?

Back

Subtract 8 from both sides: -2x ≥ 4. Then divide by -2 (remember to flip the inequality): x ≤ -2.

Front

What is the solution to the inequality 5x + 20 ≤ 0?

Back

Subtract 20 from both sides: 5x ≤ -20. Then divide by 5: x ≤ -4.

Front

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

Back

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

Front

Which number line represents the solution to 5w ≥ 30?

Back

The solution is w ≥ 6, so the number line should show a closed circle at 6 and shading to the right.

Front

How do you write an inequality for Sam's earnings to buy a laptop?

Back

10.25h ≥ 550, meaning Sam needs to work at least 54 hours.

Front

What is the first step in solving an inequality?

Back

Identify the variable and isolate it on one side of the inequality.

Front

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

Back

The inequality sign flips direction.