Which compound inequality could be represented by the graph

 or

Step-by-step explanation:

Verify the solution of each case

case 1) we have

Divide the compound inequality into two inequalities

---> solution is the interval (-∞,4]

---> solution is the interval [-4,∞)

The solution of the compound inequality is

[-4,∞) ∩ (-∞,4] ----> [-4,4]

case 2) we have

Divide the compound inequality into two inequalities

---> solution is the interval (-∞,-1]

---> solution is the interval [-2,∞)

The solution of the compound inequality is

[-2,∞) ∩ (-∞,-1] ----> [-2,-1]

case 3) we have

---> solution is the interval (-∞,-1]

or

---> solution is the interval [0,∞)

The solution of the compound inequality is ----> (-∞,-1]  ∪ [0,∞)

case 4) we have

---> solution is the interval (-∞,3]        

or

---> solution is the interval [-1,∞)

The solution of the compound inequality is

(-∞,3]  ∪ [-1,∞) ---->(-∞,∞)

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.

answer

106 emergencies

step-by-step explanation: