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Sauron [17]
3 years ago
8

What value of x is in the solution set of –5x – 15 > 10 + 20x? –2 –1 0 1

Mathematics
2 answers:
Vikentia [17]3 years ago
8 0

Answer:

<h2>x< -5/3</h2><h2>x is less than -5/3 , so answer = -2</h2>

Step-by-step explanation:

5x - 15 > 10 + 20x\\\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\5x-15+15>10+20x+15\\\mathrm{Simplify}\\\\5x>20x+25\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\\\5x-20x>20x+25-20x\\\\\mathrm{Simplify}\\\\-15x>25\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-15x\right)\left(-1\right)

stealth61 [152]3 years ago
5 0

Answer:

-2

Step-by-step explanation:

5x – 15 > 10 + 20x

Subtract 5x from each side

5x – 15-5x > 10 + 20x-5x

-15 > 10+15x

Subtract 10 from each side

-15-10 >15x

-25 > 15x

Divide each side by 15

-25/15 > x

-5/3 > x

X must be less than -1  2/3

The only value that is less than -1 2/3 is -2

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Step-by-step explanation:

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