Solving Inequalities!

Front

What is an inequality?

Back

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

Front

What does it mean if a line is dotted in a graph of an inequality?

Back

A dotted line indicates that the points on the line are not included in the solution set of the inequality.

Front

What does it mean if a line is solid in a graph of an inequality?

Back

A solid line indicates that the points on the line are included in the solution set of the inequality.

Front

How do you solve the inequality 2x + 5 > 12?

Back

Subtract 5 from both sides to get 2x > 7, then divide by 2 to find x > 3.5.

Front

What is the solution to the inequality 8x - 7 < 9?

Back

Add 7 to both sides to get 8x < 16, then divide by 8 to find x < 2.

Front

How do you solve the inequality 6x + 9 ≤ 33?

Back

Subtract 9 from both sides to get 6x ≤ 24, then divide by 6 to find x ≤ 4.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the value can be either less than or equal to the number.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value can be either greater than or equal to the number.

Front

How can you check if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the solution set of an inequality?

Back

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