Solving Inequalities

Front

What does the inequality x < -4 mean?

Back

The value of x is less than -4.

Front

What symbols indicate a closed dot on a number line when graphing inequalities?

Back

≤, ≥

Front

What symbols indicate an open dot on a number line when graphing inequalities?

Back

<, >

Front

How do you solve the inequality 5w ≥ 30?

Back

Divide both sides by 5: w ≥ 6.

Front

What is the solution to the inequality -9x + 7 ≥ 25?

Back

x ≤ -2.

Front

What does the inequality x ≥ 4 represent on a number line?

Back

All values of x that are greater than or equal to 4.

Front

What is the difference between an open dot and a closed dot on a number line?

Back

An open dot indicates that the number is not included; a closed dot indicates that it is included.

Front

How do you graph the inequality x < 3?

Back

Draw an open dot at 3 and shade to the left.

Front

What is the solution set for the inequality x > -1?

Back

All values of x that are greater than -1.

Front

What does the inequality 2x + 3 < 11 mean?

Back

The value of 2x + 3 is less than 11.