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.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.