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1 vote
5x + 38 ≤ 4(2 – 5x)?

2 Answers

4 votes
false, that is not greater than
User ManojN
by
7.9k points
1 vote

Answer:

The value of x should be less than or equal to -6/5 or -1.2

In interval notation: (-∞,-6/5)

Explanation:

Consider the provided inequality.


5x + 38 \leq 4(2 - 5x)

We need to solve the inequity for x.


5x + 38 \leq 8-20x

Subtract 38 from both sides.


5x+38-38\le \:8-20x-38


5x\le \:-20x-30

Add 20x to the both sides.


5x+20x\le \:-20x-30+20x


25x\le \:-30

Divide both sides by 25.


(25x)/(25)\le (-30)/(25)


x\le \:-(6)/(5) or
x\le \:-1.2

Hence, the value of x should be less than or equal to -6/5 or -1.2

User Armell
by
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