55.2k views
25 votes
29

2
Solve the inequality
- +3>
W
a.
c.
W <3 or w > 6
w <3 or w > 9
W <0 or w > 6
W <0 or w > 9
b.
d.

29 2 Solve the inequality - +3> W a. c. W <3 or w > 6 w <3 or w > 9 W-example-1
User Mfanto
by
8.5k points

1 Answer

3 votes

Explanation:

Let's solve your inequality step-by-step.

2

w

+3>

29

w

3w+2

w

>

29

w

Let's find the critical points of the inequality.

3w+2

w

=

29

w

3w+2=29(Multiply both sides by w)

3w2+2w=29w(Multiply both sides by w)

3w2+2w−29w=29w−29w(Subtract 29w from both sides)3w2−27w=0

3w(w−9)=0(Factor left side of equation)

3w=0 or w−9=0(Set factors equal to 0)

w=0 or w=9

Check possible critical points.

w=0(Doesn't work in original equation)

w=9(Works in original equation)Answer:

w<0 or w>9

User Bre
by
7.8k points

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