Solving 1 & 2-Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is not equal to the other.

Front

What does the symbol ≤ mean?

Back

The symbol ≤ means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

What does the symbol ≥ mean?

Back

The symbol ≥ means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8. Then divide by 2: x < 4.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

When graphing the inequality x < 5, what type of dot is used?

Back

An open dot is used to indicate that 5 is not included in the solution.

Front

When graphing the inequality x ≥ 3, what type of dot is used?

Back

A closed dot is used to indicate that 3 is included in the solution.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

n > 11.

Front

How do you graph the inequality x ≤ 2?

Back

Draw a number line, place a closed dot on 2, and shade to the left.

Front

What does it mean to 'isolate the variable' in an inequality?

Back

To isolate the variable means to manipulate the inequality so that the variable is on one side and all other terms are on the other side.