Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as >, <, ≥, or ≤.

Front

How do you solve the inequality -9h > -63?

Back

Divide both sides by -9, remembering to flip the inequality sign: h < 7.

Front

What does the solution x ≤ -2 represent on a number line?

Back

It represents all numbers less than or equal to -2, including -2 itself.

Front

What is the first step to solve the inequality -9x + 7 ≥ 25?

Back

Subtract 7 from both sides: -9x ≥ 18.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips direction.

Front

How do you check if a value satisfies the inequality x + 9 > 21?

Back

Substitute the value into the inequality and see if the statement is true.

Front

What is the solution to the inequality x + 5 > 7?

Back

Subtract 5 from both sides: x > 2.

Front

What does the inequality 5w ≥ 30 mean?

Back

It means that 5 times a number w is greater than or equal to 30.

Front

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

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, shading in the direction of the solution.

Front

What is the solution to the inequality 3x < 12?

Back

Divide both sides by 3: x < 4.