# Solving one-step linear inequalities

### Solving one-step linear inequalities

We learn how to solve one-step linear inequalities in this lesson. Besides typical math questions, we are going to see word problems related to one-step linear inequalities and money.

#### Lessons

• Introduction
i) What is an inequality?
ii) How to solve linear inequalities?
iii) How to graph inequalities on a number line?

• 1.
Solve.
a)
$7x \le 63$

b)
$- \frac{1}{8}x$ > $- 5$

c)
$3 \ge \frac{x}{{1.3}}$

d)
$2.4x$ < $-1.8$

• 2.
Determine if the solution is correct for each inequality.
a)
$21.4 - x$ < $17$; $x = 8$

b)
$- \frac{2}{5}x \le 5$; $x = - 2$

c)
$31 \ge - 3x$; $x = 1.5$

d)
$\frac{5}{8}x$ < $2.6$; $x = 0.54$

• 3.
In a pizza restaurant, you need to order a minimum of $30 of pizzas to get a free drink. If each pizza is$7.45, how many pizzas do you need to order to get the free drink?
a)
Use inequality to express the situation.

b)
Find the solution to the question.

• 4.
Anna wants to save up $\frac{1}{5}$ of her total income each month. If she wants to save up \$260 per month, how much money does she need to earn?
a)
Use an inequality to solve the question.

b)