Question

What value of x is in the solution set of 3(x – 4) > 5x + 2?

Answer 1

We have to simplify and get the value of x from this inequality given:

Given inequality,

$3(x - 4) > 5x + 2$

Now let's simplify by using distributive property,

$3x - 12 > 5x + 2$

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

$3x - 12 - 5x - 2 > 0$

$- 2x - 14 > 0$

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be reversed.

$\dfrac{ - 2x - 14}{ - 2} > \dfrac{0}{ - 2}$

$x + 7 < 0$

Now subtracting -7 from both sides,

$x + 7 - 7 < 0 - 7$

$x < - 7$

Or, Interval of the equal $(- \infin, -7 ]$

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