Solving Inequalities

Front

What type of circle is used when graphing the inequality x < 5?

Back

An open circle is used.

Front

What type of circle is used when graphing the inequality x ≤ 3?

Back

A closed circle is used.

Front

How do you represent the inequality for a limo driver who needs to make more than $450 if he charges $375 and $0.85 per mile?

Back

0.85x + 375 > 450

Front

Solve the inequality: 84 - 4x ≤ 52. What is the value of x?

Back

x > 8.

Front

Which graph represents the inequality 2x + 3 < 7?

Back

The graph should show a line with an open circle at x = 2.

Front

What is the general form of a linear inequality?

Back

A linear inequality can be expressed in the form ax + b < c, ax + b > c, ax + b ≤ c, or ax + b ≥ c.

Front

What does the symbol '>' indicate in an inequality?

Back

It indicates that the value on the left is greater than the value on the right.

Front

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

Back

It indicates that the value on the left is less than or equal to the value on the right.

Front

How do you solve the inequality 3x - 5 > 4?

Back

Add 5 to both sides to get 3x > 9, then divide by 3 to find x > 3.

Front

What is the first step in solving the inequality 5x + 2 < 17?

Back

Subtract 2 from both sides to get 5x < 15.