Question

Solve for X, and graph 8. - 6x + 14 <-28 OR 9x + 15 <- 12

Answer 1

For this case we must indicate the solution set of the given inequalities:

$-6x + 14$

Subtracting 14 from both sides of the inequality we have:

$-6x$

Dividing by 6 on both sides of the inequality:

$-x$

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

$x> 7$

Thus, the solution is given by all values of x greater than 7.

On the other hand we have:

$9x + 15$

Subtracting 15 from both sides of the inequality we have:

$9x$

Dividing between 9 on both sides of the inequality we have:

$x$

Thus, the solution is given by all values of x less than -3.

Finally, the solution set is:

(-∞, - 3) U (7,∞)

Answer:

(-∞, - 3) U (7,∞)