Solve |4-7x| -5 less than 8

select the best answer from the choices provided

a
b
c
d

b. {x l -9/7 < x <17/7}

Step-by-step explanation:

l 4 - 7xl -5 < 8

Adding 5 on both sides, we get

l4 - 7xl < 13

Absolute function has two values.

{ 4 - 7x < 13 and (4-7x) > -13}

Now let's solve for x.

-7x < 9  and -7x > -17

x > -9/7 and x < 17/7

Now we have to combine the two inequalities and write the solution

{x l -9/7 < x <17/7}

b. {x l -9/7 < x <17/7}

Hope this will helpful.

Thank you.

Choice B is the correct answer.

Step-by-step explanation:

We have given an inequality.

|4-7x| -5 < 8

We have to find the solution of given inequality.

Adding 5 to both sides of given inequality, we have

|4-7x| < 8+5

|4-7x| < 13

Applying absolute value rule, we have

-13 < 4-7x < 13

-13-4 < -7x < 13-4

-17 < -7x < 9

By dividing to -7 , reverse the inequality

-9/7 < x < 17/7

Hence, the solutions are x < 17/7 or x > -9/7.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3