Question

what are the following solutions to the inequality -7x+14>-3x-6 select all that apply

-10
10
-5
5
-3
3
0

Answer 1

Choosing the options, all values less than 5 are correct options.

-10,-5,-3,3,0 are correct options.

Step-by-step explanation:

We need to find solutions of the inequality:

$-7x+14>-3x-6$

Solving:

$-7x+14>-3x-6\\Subtract\,\,14\,\,from\,\,both\,\,sides:\\-7x+14-14>-3x-6-14\\-7x>-3x-20\\Add\,\,3x\,\,on\,\,both\,\,sides:\\-7x+3x>-3x+3x-20\\-5x>-20\\Divide\,\,both\,\,sides\,\,by\,\,-5\,\,and\,\,reverse\,\,the\,\,sign:\\x<\frac{-20}{-5}\\x<5$

So, solving the inequality $-7x+14>-3x-6$ we get $x<5$

So, Choosing the options, all values less than 5 are correct options.

-10,-5,-3,3,0 are correct options.

Keywords: Solving the inequality

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