Solving Linear Inequalities

What happens to an inequality when you add or subtract the same number from both sides?

• The inequality sign changes direction.

• The inequality becomes false.

• The inequality remains true.

• The inequality becomes an equation.

If you have the inequality x - 3 < 9, what is the solution for x?

• x < 6

• x < 12

• x < 9

• x < 3

In the inequality n + 2 ≤ 5, what is the value of n?

• n ≤ 7

• n ≤ 5

• n ≤ 3

• n ≤ 2

When graphing the solution x > 12 on a number line, what type of circle is used at 12?

• No circle

• Half-open circle

• Open circle

• Closed circle

What is the solution to the inequality 5x ≤ 45?

• x ≤ 45

• x ≤ 8

• x ≤ 9

• x ≤ 5

How do you solve the inequality x/8 > 3?

• Add 8 to both sides

• Multiply both sides by 8

• Multiply both sides by 3

• Divide both sides by 8

What is the solution to the inequality 10x < 80?

• x < 7

• x < 10

• x < 80

• x < 8

In the inequality x/6 ≥ 7, what is the value of x?

• x ≥ 49

• x ≥ 6

• x ≥ 7

• x ≥ 42

If L wants to spend no more than $42 on 7 party favors, what is the maximum cost per favor?

• $8

• $5

• $6

• $7

How would you write the inequality for L's party favor problem?

• 7x ≤ 42

• 7x < 42

• 7x > 42

• 7x ≥ 42