Question

-5x-12>6x-4 Solve the inequality and give the answer in interval notation.

Answer 1

-5x-12>6x-4

To Solve the inequality we need to get x alone

-5x-12>6x-4

first we remove -12, for that we add 12 on both sides

-5x-12+12>6x-4+12

-5x > 6x +8

Now subtract 6x from both sides

-5x -6x> 6x-6x +8

-11x > 8

Divide by -11. when we divide by -11 we flip the inequality . so > becomes <

$x < -\frac{8}{11}$

We need to give the answer in interval notation.

x is less than -8/11 so x value starts from -8/1  and goes to -infinity(left)

So interval notation is (-∞, $-\frac{8}{11}$)