Solving Linear Inequalities Using Addition and Subtraction

What is a similarity between solving linear inequalities and linear equations in one variable?

• Both require flipping the inequality sign when multiplying or dividing by a negative number.

• Both involve finding a specific value for the variable.

• Both can be solved using similar algebraic operations like addition and subtraction.

• Both always have a single solution.

Is this an equation or an inequality?

12x - 7 < 44

• Equation

• Inequality

Is this an equation or an inequality?

x > 0

• Equation

• Inequality

When you add a number to each side of an equation, you are using the ___________.

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Solve the following inequality:
p - 4 < 2

• p < - 2

• p < 6

• p > 6

• p < 8

Solve the following inequality:
s + 1 ≥ -5

• s ≥ -6

• s ≥ - 4

• s < -6

• s ≤ -4

Solve the following inequality:
k - 14 ≤ - 10

• k ≤ 24

• k ≥ 4

• k ≤ 4

• k ≤ -24

Solve the following inequality:
-⅙ + t < -½

• t > ⅓

• t < -⅔

• t < -⅓

• t < -1

Solve the following inequality:
d - 2.4 ≤ -5.1

• d ≤ -2.7

• d ≤ - 9.5

• d > -3.5

• d ≥ -3.7

You have $137.26 in a bank account. The bank requires you to have at least $50 in your account or else you are charged a fee. Write and solve an inequality that shows the amount you can write your next check for without being charged.

• x < $87.26

• x ≥ $76.51

• x ≤ $87.26

• x ≤ $187.26