One Step Inequalities Flip the Sign Lesson Slides: 13 Slides

13 Slides • 5 Questions

1

Solving Inequalities by addition and subtraction

2

Inequality

An open sentence that contains

>,<,\ \ge,\ \le

>\ Greater\ Than\

\ge\ Greater\ than\ or\ equal\ to\

<\ Less\ Than

\le\ Less\ than\ or\ equal\ to\

3

Examples of an inequality:

3<6

x\ge2

12,000\le40,000

4

Graphing an Inequality

1) Pay attention to the inequality sign. Does it include an equal sign?

2) Draw an opened or closed circle on the number depending on the sign.

3) Draw an arrow left or right depending on what solutions make the inequality true.

5

Multiple Choice

$Does\ x\ge5\ have\ an\ open\ or\ closed\ circle?\$

1

Opened

2

Closed

6

Multiple Choice

$Does\ the\ arrow\ for\ the\ graph\ of\ x\ge5\ go\ to\ the\ left\ or\ the\ right\ of\ 5?\$

1

Left

2

Right

7

8

9

10

11

12

13

Multiple Choice

$x-3>7$

1

{x|x>10}

2

{x|x<10}

3

{x|x>4}

4

{x|x<4}

14

Graph the solution to x-3>7 above.

15

Multiple Choice

$g+6<2$

1

{g| $g>8$ }

2

{g| $g>-4$ }

3

{g| $g<8$ }

4

{g| $g<-4$ }

16

Graph the solution to g+6<2 above.

17

Multiple Choice

$8r\ +\ 6\ \le\ 9r$

1

{r| $r\le6$ }

2

{r| $r\ge6$ }

3

{r| $r\le\frac{1}{6}$ }

4

{r| $r\ge\frac{1}{6}$ }

18

Graph the solution to $8r+6\le9r$ above.

Solving Inequalities by addition and subtraction

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