Inequality word problems

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, or not equal to the other.

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 an inequality?

Back

To solve an inequality, isolate the variable on one side using inverse operations, similar to solving an equation.

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

Write an inequality for biking 2 hours at a speed no faster than 17.6 miles per hour.

Back

X ≤ 35.2 (where X is the distance biked).

Front

If Jim paid a gym membership fee of $50 plus $20 per month, how can we express his total payment as an equation?

Back

50 + 20m = 290 (where m is the number of months).

Front

What does the inequality 'x < 16' represent?

Back

It represents that x is less than 16.

Front

What does the inequality 'x ≥ 16' represent?

Back

It represents that x is greater than or equal to 16.

Front

What is the first step in solving the inequality -4x ≥ 10?

Back

The first step is to divide both sides by -4, which requires flipping the inequality sign.