One-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

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or equal to another value.

Front

How do you solve the inequality x + 5 < 10?

Back

Subtract 5 from both sides: x < 5.

Front

What is the solution to the inequality 3p ≥ 12?

Back

Divide both sides by 3: p ≥ 4.

Front

Which of the following values satisfies the inequality x - 2 > 3? (Options: 4, 5, 6)

Back

5 satisfies the inequality because 5 - 2 > 3.

Front

How do you represent the inequality 'a is less than 10'?

Back

It is represented as a < 10.

Front

What does it mean if a number is not in the solution set of an inequality?

Back

It means that the number does not satisfy the inequality when substituted into it.

Front

If x + 9 > 21, what is the minimum value of x?

Back

The minimum value of x is 13, because x > 21 - 9.

Front

What is the solution to the inequality -2x ≤ 8?

Back

Divide both sides by -2 (remember to flip the inequality): x ≥ -4.