Solve the inequality and express your answer in interval notation

The number line graph is also attached below.

Step-by-step explanation:

Given the inequality

Let's find the critical points of the inequality.

       (Multiply both sides by x-3)

   (Factor left side of equation)

or    (Set factors equal to 0)

or

Check possible critical points.

x = 5  (Works in original equation)

x = −6  (Works in original equation)

Critical points:

x = 5 or x = −6      (Makes both sides equal)

x = 3          (Makes left denominator equal to 0)

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x ≤ −6     (Doesn't work in original inequality)

−6 ≤ x < 3      (Works in original inequality)

3 < x ≤ 5         (Doesn't work in original inequality)

x ≥ 5 (Works in original inequality)

so

Therefore,

The number line graph is also attached below.

i believe the answer is 68cm

step-by-step explanation:

i just took 34 x 2 because the space between v and y is the same as y to k.

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.