Solving Inequalities (for a grade)

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 '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 3x + 5 ≤ 11?

Back

Subtract 5 from both sides: 3x ≤ 6. Then divide by 3: x ≤ 2.

Front

What is the solution to the inequality 4x - 7 ≥ -3?

Back

Add 7 to both sides: 4x ≥ 4. Then divide by 4: x ≥ 1.

Front

How do you solve the inequality -9x + 7 ≥ 25?

Back

Subtract 7 from both sides: -9x ≥ 18. Then divide by -9 (remember to flip the inequality): x ≤ -2.

Front

What is the solution to the inequality -8x < 48?

Back

Divide by -8 (flip the inequality): x > -6.

Front

How do you solve the inequality 8x - 7 < 9?

Back

Add 7 to both sides: 8x < 16. Then divide by 8: x < 2.

Front

What is the first step in solving an inequality?

Back

Isolate the variable 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.