Question

Solve and Graph the Inequalities​

Answer 1

Answer:

1) 2 + 5k ≤ -18

5k ≤ -20

K ≤ -4

2) -7 > 3 + r/5

-10 > r/5

-50 > r

3) -6 + a/2 < -6

a/2 < 0

a < 0

4) -10 ≤ 5 - 3y

-15 ≤ -3y

5 ≤ y

5) 5 - 6z < 29

-6z < 24

z < -4

6) 5c + 2 ≥ -28

5c ≥ -30

c  ≥ -6

7) -4 + x/2 ≥ -10

x/2 ≥ -6

x ≥ -12

8) 4d + 5 ≤ -27

4d ≤ -32

d ≤ -8

9) -9 > -5 + y/6

-4 > y/6

-24 > y

10) -45 > 3 + 6g

-48 > 6g

-8 > g

For all of the graphs:

Start the point on the number that I got from the inequality.

A filled circle means:

Greater than or equal to or less than or equal depending on where the line goes.

A hallow circle means:

Greater than or less than also depending on where the line is pointed towards too.

In order to graph an inequality you have to find and simply first then graph it.

For example on number 1, K ≤ -4.

Let's graph!

As you can see I filled in the circle and started at the point, -4.

Once I did it I made it bold from -4 and there on to the left. Making -4 be greater than or equal to K.

I showed that -4 is greater than or equal to K by making the line bold behind -4, also by filling in the circle.