2.2-2.3 Solving One-step Inequalities

Solving One-step

Inequalities

2.2-2.3

Learning Target

Student will be able to…

●Solve inequalities using addition and subtraction.

●Solve inequalities using multiplication and division.

Multiple Choice

Write an inequality:

A person can walk there in less than 20 minutes.

• $$x\le20$$

• $$x<20$$

• $$x\ge20$$

• $$x>20$$

Multiple Choice

Write an inequality:

Each prize is worth over $150.

• $$x\le150$$

• $$x\ge150$$

• $$x>150$$

• $$x<150$$

Multiple Choice

Write an inequality:

The repairs to a phone is no more than $50.

• $$x\le50$$

• $$x\ge50$$

• $$x>50$$

• $$x<50$$

Multiple Choice

Write an inequality:

To get the group rate, there must be at least 12 people.

• $$x\le12$$

• $$x\ge12$$

• $$x>12$$

• $$x<12$$

Multiple Choice

Write an inequality:

There can be at most 25 students in a class.

• $$x\le25$$

• $$x\ge25$$

• $$x>25$$

• $$x<25$$

Example 1: Solving an Inequality Using Addition and Subtraction

Solve the inequality and then graph the solution.

a)

¼ > y - ¼

b) -8 ≤ 1.4 + m

​Multiplying or Dividing by Positive Numbers

Example 2: Multiplying or Dividing by Positive Numbers

a)

Example 3: Real-Life Applications

A circuit overloads at 1800 watts of electricity. You plug a microwave oven that uses 1100 watts of electricity into the circuit.

a. Write and solve an inequality that represents how many watts you can add to the circuit without overloading the circuit.

b. In addition to the microwave oven, which of the following
appliances can you plug into the circuit at the same time
without overloading the circuit?

Example 4: Real-Life Applications

You earn $9.50 per hour at your summer job. Write and solve an inequality that represents the number of hours you need to work to buy a digital camera that costs $247.

Math Response

Exit ticket: Solve and graph the solution:

$$3y\le-9$$

Type answer here

Correct Answer: y\le-3

Deg^°

Rad