A1 5-1-5-3 Lesson

5.1-5.3 Solve One
Variable
Inequalities

Instructions

Fill out your notes as you go through the slides. We will go
over this in class.

We can make a connection to the graph of lines when we used solid
and dashed lines.
No equal; open circle
Equal; closed circle

Multiple Choice

When you graph an inequality on a number line, you should use a closed circle/dot when the inequality has which symbols?

• $$\le,\ge$$

• $$<,>$$

• $$\ge,>$$

• $$<,\le$$

Multiple Choice

When you graph an inequality on a number line, you should use an open circle/dot when the inequality has which symbols?

• $$\le,\ge$$

• $$<,>$$

• $$\ge,>$$

• $$<,\le$$

Trick; If the variable is on the left, follow the tip of the inequality for the answers.
So if the inequality points right answers are to the right of the number or if the
inequality points left answers are the to left of the number.

Practice

Practice

Multiple Choice

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

Multiple Choice

Which inequality matches the graph?

• x>-2

• x<-2

• x>-2

• x<-2

Connection; You will solve it just like if it was an equation, but at the end you will
graph a number line to show all the possible solutions.

We will discuss the third point in class

Practice

Practice Answer

Multiple Choice

Solve the linear inequality.

• x < 0

• x > 0

• x < 3

• x > 3

Multiple Choice

Solve the linear inequality.

• x > 1

• x > 5

• x > -1

• x < -1

Practice

Practice Answer

Multiple Choice

Solve the linear inequality.

• x < 5

• x > 5

• x < 5

• x > 5

Multiple Choice

Solve the inequality: 2(x + 3) < 14

• x = 4

• x > 4

• x > 3

• x < 4

Poll

After taking your notes and answering the questions, how do you feel so far about this section?

• Great

• Good

• Kinda get it but still a little lost

• Super lost