1 Step Inequalities

Front

What is a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single step, typically involving addition, subtraction, multiplication, or division.

Front

How do you solve the inequality -4x ≤ -20?

Back

Divide both sides by -4, remembering to flip the inequality sign: x ≥ 5.

Front

What does the inequality x + 5 ≤ 13 represent?

Back

It represents that the value of x, when increased by 5, is less than or equal to 13.

Front

What is the solution to the inequality x + 5 ≤ 13?

Back

x ≤ 8.

Front

What does the inequality x ≥ -6 mean?

Back

It means that x can be any number greater than or equal to -6.

Front

How do you solve the inequality s + 9 ≥ -25?

Back

Subtract 9 from both sides: s ≥ -34.

Front

What is the solution to the inequality 8 - x ≥ 13?

Back

Subtract 8 from both sides and multiply by -1: x ≤ -5.

Front

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

Back

The inequality sign flips direction.

Front

What is the graphical representation of x ≤ 5?

Back

A number line with a closed circle at 5 and shading to the left.

Front

What does the term 'solution set' refer to in inequalities?

Back

The solution set is the set of all values that satisfy the inequality.