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 y - 13 ≤ -15?

Back

Add 13 to both sides: y ≤ -15 + 13; thus, y ≤ -2.

Front

How do you solve the inequality -4 + y < -8?

Back

Add 4 to both sides: y < -8 + 4; thus, y < -4.

Front

How do you solve the inequality r - 14 ≥ 17?

Back

Add 14 to both sides: r ≥ 17 + 14; thus, r ≥ 31.

Front

What inequality represents 'more than 250'?

Back

The inequality is c > 250.

Front

What inequality represents 'at most 45'?

Back

The inequality is g ≤ 45.

Front

What is the first step in solving a one-step inequality?

Back

Identify the operation being performed on the variable and perform the inverse operation to isolate the variable.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.