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-3r+15≥4(r-2) please help me

2 Answers

4 votes

−3r+15≥4r−8

Subtract 4r from both sides.

−3r+15−4r≥4r−8−4r

−7r+15≥−8

Subtract 15 from both sides.

−7r+15−15≥−8−15

−7r≥−23

Divide both sides by -7.

−7r/−7 ≥ −23/−7

r ≤ 23/7

User Jaiprakash Soni
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8.1k points
4 votes
-3r + 15 ≥ 4(r - 2)
-3r + 15 ≥ 4(r) - 4(2)
-3r + 15 ≥ 4r - 8
+ 3r + 3r
15 ≥ 7r - 8
+ 8 + 8
23 ≥ 7r
7 7
3²/₇ ≥ r
r ≤ 3²/₇

Solution Set: x ∈ (-∞, 3²/₇]
User Sunny Sultan
by
8.3k points

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