Question

Solve 3(x - 2) > 4(2x + 11).
Question 3 answers
{x| x < -1.8}
{x| x > -7.6}
{x| x < -10}
{x| x > -10}

Answer 1

Okay, so we start out by realizing that the > sign is pretty much like the equals sign. If we change the sign using a "-", then we have to change it to <.
3(x-2) = 3x - 6
4(2x+11) = 8x + 44
So we have the new equation:
3x-6 > 8x + 44
Which simplifies to:
-5x - 6 > 44
But we can move the 6 over to the right, and have:
-5x > 52
Dividing both sides by -5 and switching the sign, we have:
x < -52/5
and -52/5 simplifies to: -10.4
So x < -10.4
Since you are working with integers and not rational numbers, they listed this solution as x < -10.
Hope that helps!
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