Which of the following are solutions to the inequality -7x + 14 > -3x - 6

Answer 1

Greetings! Lets solve this shall we ?

So, we must find all solutions that make this equation hold true. We must solve for x in order to determine this set of values such that,

-3x - 6 < -7x + 14................Add 7x to both sides such that

4x - 6 < 14..............Add 6 to both sides

4x < 20................Then divide 4 to both sides such that

x < 5 or (-∞, 5)

I hope this helped!

Answer 2

-7x + 14 > -3x - 6

14 > -3x - 6 + 7x

14 > 4x - 6

20 > 4x

5 > x