Answer:
x<4
Step-by-step explanation:
[tex]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[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9x}{9}<\frac{36}{9}\\\\x<4[/tex]
