Solving Two Step 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 'less than'. For example, x < 5 means x is less than 5.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

How do you solve the inequality 50 < 8 - 6x?

Back

Rearranging gives -6x > 50 - 8, or -6x > 42. Dividing by -6 (and flipping the inequality) gives x < -7.

Front

How do you solve the inequality 7 < 4q - 9?

Back

Rearranging gives 4q > 7 + 9, or 4q > 16. Dividing by 4 gives q > 4.

Front

How do you solve the inequality -x/5 + 6 > -3?

Back

Rearranging gives -x/5 > -3 - 6, or -x/5 > -9. Multiplying by -5 (and flipping the inequality) gives x > -45.

Front

How do you solve the inequality x/5 - 11 ≥ -14?

Back

Rearranging gives x/5 ≥ -14 + 11, or x/5 ≥ -3. Multiplying by 5 gives x ≥ -15.

Front

How do you solve the inequality 15 - 5k ≥ 0?

Back

Rearranging gives -5k ≥ -15. Dividing by -5 (and flipping the inequality) gives k ≤ 3.