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5 votes
X + 1 > -5( 7-2x) I need help please.​

User Hkan
by
5.2k points

1 Answer

3 votes

Answer:

x<4

Explanation:


x + 1 > -5( 7-2x) \\\\\mathrm{Expand\:}-5\left(7-2x\right):\quad -35+10x\\x+1>-35+10x\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\x+1-1>-35+10x-1\\\\Simplify\\x>10x-36\\\\\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}\\x-10x>10x-36-10x\\Simplify\\-9x>-36\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-9x\right)\left(-1\right)<\left(-36\right)\left(-1\right)\\\\Simplify\\9x<36


\mathrm{Divide\:both\:sides\:by\:}9\\(9x)/(9)<(36)/(9)\\\\x<4

User Daniel Jonker
by
5.9k points
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