Solving Multistep Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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 + 3 < 11?

Back

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

Front

What is the first step in solving the inequality 5 - 2x ≥ 3?

Back

Subtract 5 from both sides: -2x ≥ -2.

Front

When multiplying or dividing both sides of an inequality by a negative number, what happens to the inequality sign?

Back

The inequality sign flips direction.

Front

Solve the inequality: 3k + 4 < 10.

Back

Subtract 4 from both sides: 3k < 6. Then divide by 3: k < 2.

Front

What is the solution to the inequality x - 7 ≥ 2?

Back

Add 7 to both sides: x ≥ 9.

Front

How do you represent the solution of an inequality on a number line?

Back

Use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Draw a line to indicate the range of solutions.

Front

What does the inequality x > 5 mean?

Back

It means that x can be any number greater than 5.