Solve for x 4x-4< 8 and 9x+5 > 23

2 < x < 3

Step-by-step explanation:

Inequalities: 4x - 4 < 8 ∩ 9x + 5 > 23

Simplify:

4x - 4 < 8 ∩ 9x + 5 > 23

   4x < 12 ∩ 9x > 18

       x < 3 ∩ x > 2

Combine inequalities: 2 < x < 3

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.