Inequalities REVIEW

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, 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 3x + 2 < 11?

Back

Subtract 2 from both sides: 3x < 9. Then divide by 3: x < 3.

Front

What is the solution to the inequality 5x - 3 ≥ 12?

Back

Add 3 to both sides: 5x ≥ 15. Then divide by 5: x ≥ 3.

Front

When graphing the inequality x > 2, what type of dot is used?

Back

An open dot is used when graphing x > 2.

Front

What is the solution to the inequality -2m + 4 < 10?

Back

Subtract 4 from both sides: -2m < 6. Then divide by -2 (remember to flip the inequality): m > -3.

Front

How do you express the situation: 'A number x is at least 5'?

Back

The inequality is x ≥ 5.

Front

What is the solution to the inequality 9 ≥ -2m + 2 - 3?

Back

Simplifying gives 9 ≥ -2m - 1. Then, 10 ≥ -2m, which simplifies to m ≥ -5.

Front

What does the inequality 700 + 125x ≤ 1,400 represent?

Back

It represents a budget constraint where $700 is the fixed cost and $125 is the variable cost per day.