Inequalities Review

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?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality: c - 7 > 8?

Back

Add 7 to both sides to get c > 15.

Front

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

Back

Subtract 5 from both sides to get x ≤ 8.

Front

If Johnny earns $15 per hour, how can we express his earnings in terms of hours worked (h)?

Back

His earnings can be expressed as 15h.

Front

What inequality represents Johnny wanting to earn at least $105?

Back

The inequality is 15h ≥ 105.

Front

If Katie is driving at 30 mph, what inequality represents her speed limit of 45 mph?

Back

The inequality is 30 + s ≤ 45, where s is the speed she can increase.

Front

What does it mean if Todd caught at least three times as many fish this year than last year?

Back

It means the number of fish he caught last year (y) can be represented by the inequality 3y ≥ 63.

Front

How do you express the condition of not exceeding a speed limit in an inequality?

Back

You express it by using '≤' to indicate the maximum allowable value.