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

'≤' 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

'≥' 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 x - 4 ≤ 6?

Back

Add 4 to both sides: x ≤ 10.

Front

How do you solve the inequality y + 8 ≤ -15?

Back

Subtract 8 from both sides: y ≤ -23.

Front

How do you solve the inequality 26 + y ≤ -18?

Back

Subtract 26 from both sides: y ≤ -44.

Front

How do you solve the inequality y - 10 > 14?

Back

Add 10 to both sides: y > 24.

Front

How do you solve the inequality m / 7 > -14?

Back

Multiply both sides by 7: m > -98.

Front

What is the solution set of an inequality?

Back

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

Front

What does it mean to graph an inequality on a number line?

Back

Graphing an inequality on a number line shows all the possible solutions. A closed dot indicates '≤' or '≥', while an open dot indicates '>' or '<'.