Solving 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 '≤' represent?

Back

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

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

To solve -4x + 14 ≤ 54, first subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (remember to flip the inequality sign) to find x ≥ -10.

Front

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

Back

To solve -6a ≥ -36, divide both sides by -6 (flipping the inequality sign) to get a ≤ 6.

Front

How do you solve the inequality -5x ≥ 30?

Back

To solve -5x ≥ 30, divide both sides by -5 (flipping the inequality sign) to find x ≤ -6.

Front

What is the solution to the inequality x + 5 ≤ 13?

Back

To solve x + 5 ≤ 13, subtract 5 from both sides to get x ≤ 8.

Front

What does the symbol '≥' represent?

Back

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

Front

What is the first step in solving an inequality?

Back

The first step in solving an inequality is to isolate the variable on one side of the inequality.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities, often using 'and' or 'or'.