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Solve each inequality and graph it’s solution. Help pls

Solve each inequality and graph it’s solution. Help pls-example-1
User Nightire
by
5.7k points

1 Answer

4 votes

1) 0 > 3x - 3 - 6

-3 - 6 = -9

0>3x - 9

+9

9 > 3x

/3

x < 3

You should place an open circle on 3 with the arrow going left

<-----o

2) 4x + 1 - 1 ≥ - 8

1 - 1 = 0

4x ≥ - 8

Divide each side by 4

x ≥ -2

You should place a closed circle on the -2 with the arrow going right

----->

3) -1 ≤ 2n + 4 - 5

4 - 5 = -1

-1 ≤ 2n - 1

+1

0 ≤ 2n

Divide by 2

n ≥ 0

You should place a closed circle on the 0 with the arrow going right

---->

4) -6 > 5n + 5 + 4

5 + 4 = 9

-6 > 5n + 9

Subtract 9 from each side

-15 > 5n

Divide each side by 5

n < -3

You should place an open circle on the -3 with the arrow going left

<------o

5) 0 ≤ 2n + 3n

2n + 3n = 5n

0 ≤ 5n

Divide each side by 5

n ≥ 0

You should place a closed circle on the 0 with the arrow going right

------>

6) 2p - 4p ≤ -2

2p - 4p = -2p

-2p ≤ -2

Divide each side by -2

p ≥ 1

You should place a closed circle on the 1 with the arrow going right

o----->

User LucG
by
6.1k points