- 53 Views
- Uploaded on
- Presentation posted in: General

SOL 8.15 cont.

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

SOL 8.15 cont.

Two-step Inequalities

- An inequality is a mathematical sentence that compares expressions using:
- < less than
- > greater than
- ≤ less than or equal to
- ≥ greater than or equal to

- First, add 4 to both sides.
- Multiply by 3 on both sides.

- x/3 > 12
- x > 36 so any number greater than 36 is a possible solution to this inequality

- When you multiply or divide by a negative number, the inequality sign reverses. (< becomes > and ≤ becomes ≥)

- Subtract 4 from both sides.
- Divide by -2 on both sides

- -2x ≤ 8
- x ≥ -4 the sign flips bc we divided by a negative number

- Add 8 to both sides
- Multiply by -6 on both sides

- x/-6 > 11
- x < -66 the sign flips bc we multiplied by a negative number

- If you have >, you place an “open” (unshaded) circle on the number and shade to the right, including the arrow.
- If you have <, you place an “open” (unshaded) circle on the number and shade to the left, including the arrow.

- If you have ≥, you place a “closed” (shaded) circle on the number and shade to the right, including the arrow.
- If you have ≤, you place a “closed” (shaded) circle on the number and shade to the left, including the arrow.

- x < -9
- y ≥ 17
- w ≤ -36
- b > 4

Solve the following inequalities, and then graph.

- n/2 – 4 > -10
- -2x + 4 ≤ 12
- 19 ≥ 5x + 4
- w/-2 + 8 < 16

- Which is one value of the set of x that makes the following true? 7x + 3 > 17
- 0
- 1
- 2
- 3
D. 3