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 the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left side is larger than the value on the right side.

Front

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

Back

The symbol '<' means 'less than'. It indicates that the value on the left side is smaller than the value on the right side.

Front

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

Back

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

Front

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

Back

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

Front

How do you solve the inequality 84 - 4x ≤ 52?

Back

First, subtract 84 from both sides: -4x ≤ -32. Then, divide by -4 (remember to flip the inequality): x ≥ 8.

Front

What is the solution to the inequality 10 - 3x < 16?

Back

Subtract 10 from both sides: -3x < 6. Then, divide by -3 (flip the inequality): x > -2.

Front

Write an inequality for the scenario: Penelope can spend no more than $35 at the carnival.

Back

0.50x + 20 ≤ 35, where x is the number of ride tickets.

Front

What inequality represents the limo driver's earnings?

Back

0.85x + 375 > 450, where x is the number of miles driven.

Front

What is the first step in solving an inequality?

Back

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