Mathematics, 19.11.2019 22:31 hajanaetowens

Which value of x makes the inequality 2(8 – x) < 4 true? a. x = –16 b. x = –9 c. x = 4 d. x = 10

Answers: 1

Show answers

Answers

Answer from: jaylenmiller437

Step-by-step explanation:

If we plug in any negative number as x, the result will always be greater than 4, which rules out answers A and B

lets try plugging in 4 as x to test answer C:

2(8-4)

2(4)= 8

8 is greater than 4, therefore C is wrong.

Lets try 10 as X (answer D):

2(8-10)

2(-2)

-4

We know that -4 is less than 4, therefore it makes the inequality true! :)

Answer from: estheradame547

2(8 - x) < 4

Instead of testing each individual value of the inequality, let's solve it to determine which value makes it true.

Let's start by dividing both sides by 2.

2(8 - x)/2 < 4/2

8 - x < 2

Subtract both sides by 8

8 - x - 8 < 2 - 8

-x < -6

Multiply/Divide both sides by -1 (either one works)

[NOTE: Remember to reverse the inequality sign when dividing/multiplying by a negative number!]

x > 6

Thus, any x value that's greater than 6 will make the inequality true. That would be answer choice D. Happy studying~

Answer from: Quest

109 trust me

step-by-step explanation:

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 17:00, lizzynmk

Which set of reflections would carry trapezoid abcd onto itself? a) x-axis, y=x, y-axis, x-axis b) x-axis, y-axis, x-axis c) y=x, x-axis, x-axis d) y-axis, x-axis, y-axis, x-axis

Answers: 2

continue

Mathematics, 21.06.2019 17:50, tm133043

When using the linear combination metho e linear combination method to solve a system of linear equations, the four options are:

Answers: 1

continue

Mathematics, 21.06.2019 18:30, FailingstudentXD

Do some research and find a city that has experienced population growth. determine its population on january 1st of a certain year. write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a period of exponential growth. describe the variables and numbers that you used in your equation.

Answers: 3

continue

Mathematics, 21.06.2019 21:20, Boogates7427

Paul’s car is 18 feet long. he is making a model of his car that is 1/6 the actual size. what is the length of the model?

Answers: 1

continue

You know the right answer?

Which value of x makes the inequality 2(8 – x) < 4 true? a. x = –16 b. x = –9 c. x = 4 d. x = 1...