Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality y - 13 ≤ -15?

Back

Add 13 to both sides: y ≤ -2.

Front

What is the solution to the inequality 22 < 6c + 4?

Back

Subtract 4 from both sides: 18 < 6c, then divide by 6: 3 < c.

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

Solve the inequality -3x ≥ 12. Do you need to flip the sign?

Back

Yes, divide by -3 and flip the sign: x ≤ -4.

Front

What is the solution to the inequality 8x ≥ -32?

Back

Divide both sides by 8: x ≥ -4.

Front

What is the first step in solving an inequality?

Back

Identify the variable and isolate it on one side of the inequality.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, such as a < x < b.