Find the solution set of this inequality. select the correct graph. 18x + 161 > 16 click on the correct answer.

"first number line shown in the diagram"

Step-by-step explanation:

Whenever we have inequality of the form

| x + a | > b

we can write

1.  x+a > b, and

2. -(x+a) > b

and solve both.

So we can write

1. 8x + 16 > 16

2. -(8x+16) > 16

Solving 1:

8x > 16 - 16

8x > 0

x > 0

Solving 2:

-(8x+16) > 16

-8x - 16 > 16

-16 -16 > 8x

-32 > 8x

-32/8 > x

-4 > x

Putting these together, we can say x is greater than 0 & x is less than -4

The first number line is right.

The answer is:

The first option.

To solve absolute values inequalities, we need to remember that absolute value functions have a positive and a negative solution.

For example, we have that:

The solution will be

So, we are given the inequality:

Isolating "x", we have:

Hence, we have that the correct option is the first option.

The solution is:

or

(-∞,-4)U(0,∞)

Have a nice day!

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

21

step-by-step explanation: