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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8 (remember to flip the inequality sign): 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

How do you solve the inequality 5x + 8 ≥ 43?

Back

Subtract 8 from both sides: 5x ≥ 35, then divide by 5: x ≥ 7.

Front

How do you solve 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 (flip the sign): x ≤ -2.