Writing & Solving One-Step 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 'less than or equal to'. It indicates that the value on the left can be 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 can be greater than or equal to the value on the right.

Front

How do you solve the inequality: 3x + 5 < 14?

Back

Subtract 5 from both sides: 3x < 9. Then divide by 3: x < 3.

Front

What is the solution set for the inequality: x > 5?

Back

The solution set includes all numbers greater than 5, represented as (5, ∞).

Front

If y - 4 ≤ 10, what is the value of y?

Back

Add 4 to both sides: y ≤ 14.

Front

What does it mean if a number is NOT a solution to an inequality?

Back

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

Front

How do you represent 'more than' in an inequality?

Back

'More than' is represented by the symbol '>'.

Front

What is the solution to the inequality: -2y < 6?

Back

Divide by -2 (remember to flip the inequality): y > -3.

Front

What does the inequality 'x ≤ 10' represent?

Back

It represents all numbers that are less than or equal to 10.