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, or not equal to the other.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '>' mean?

Back

'>' means 'greater than'.

Front

How do you solve the inequality r - 12 ≥ 17?

Back

Add 12 to both sides: r ≥ 29.

Front

What is the solution set for the inequality x + 9 > 17?

Back

Subtract 9 from both sides: x > 8.

Front

Which value is NOT in the solution set for x > -5?

Back

-6 is NOT in the solution set.

Front

What is the first step in solving the inequality 5w ≥ 30?

Back

Divide both sides by 5: w ≥ 6.

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 '≤', and shade the appropriate direction.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.

Front

What is the solution to the inequality 2x - 4 < 10?

Back

Add 4 to both sides: 2x < 14, then divide by 2: x < 7.