Solving Inequalities Lesson Slides: 8 Slides

8 Slides • 7 Questions

1

Solving Inequalities

2

Inequalities are just like equations, but without the = sign.

3

What do the symbols mean?

4

Solving Inequalities

Use the same steps that you would use to solve an equation.
But remember the Golden Rule: If you multiply or divide by a NEGATIVE when you are solving an inequality, then you must FLIP the inequality symbol.
If the variable does not end up on the left when you solve, then rewrite the inequality (backwards) before you're done. For example, 4>x would be rewritten as x<4.

5

Multiple Choice

$Solve:\ 5\left(2+2x\right)>90$

1

$x<8$

2

$x<-36$

3

$x>8$

4

$x>-31$

6

7

Multiple Choice

$Solve:\ -7\left(n-6\right)<91$

1

$n<7$

2

$n>7$

3

$n<-7$

4

$n>-7$

8

9

Multiple Choice

$Solve:\ -82>2\left(n-5\right)+7n$

1

$n>-25$

2

$n<-25$

3

$n<-8$

4

$n>-8$

10

11

Graphing the Solution to an Inequality

12

Multiple Choice

Which one shows the graph of the solution?

$x\le5$

1

2

3

4

13

Draw

Solve and graph the inequality.

14

Draw

Solve and graph the inequality

15

Poll

How do we feel about inequalities?

Solving Inequalities

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