Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you solve the inequality 2x + 6 ≥ -8?

Back

Subtract 6 from both sides: 2x ≥ -14. Then divide by 2: x ≥ -7.

Front

What is the solution to the inequality y - 10 > 14?

Back

Add 10 to both sides: y > 24.

Front

What inequality does the number line graph represent if it shows an open circle at 2?

Back

The inequality is x < 2.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What is the solution to the inequality -6a ≥ -36?

Back

Divide both sides by -6 (remember to flip the inequality): a ≤ 6.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

What is a solution set in the context of inequalities?

Back

A solution set is the set of all values that satisfy the inequality.