Solve and graph the absolute value inequality |4x+1|≤5

Question

anonymous · Answer

≤

anonymous · Answer

less than or equal to

anonymous · Answer

5

anonymous · Answer

Question 3 (Worth 1 points) [02.06] Solve and graph the absolute value inequality: |4x + 1| ≤ 5. number line with closed dots on −1.5 and 1 with shading going in the opposite directions. number line with open dots on −1.5 and 1 with shading in between. number line with closed dots on −1 and 1 with shading in between. number line with closed dots on −1.5 and 1 with shading in between. Points earned on this question: 0 Question 4 (Worth 1 points) [02.06] Which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39? a number line with closed circles at -3 and 6 and shading in between. number line with open dots at Â¨C3 and 6 and shading to the right of 6 and to the left of Â¨C3. number line with open dot at Â¨C2 and at 5 with shading in between. number line with shading everywhere. Points earned on this question: 0 Question 5 (Worth 1 points) [02.06] Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3? −5x − 7 < −22 and −5x − 7 ≥ −3 −5x − 7 > −22 and −5x − 7 ≥ −3 −5x > −22 and −7 ≥ −3 −5x − 7 < −22 and −5x − 7 ≤ −3 Points earned on this question: 0

anonymous · Answer

|4x+1|≤5
5 - 1 = 4
4x = 4 = 1

x __ 1
do you know what sign would be there?

anonymous · Answer

less than or equal to

igreen · Answer

$|4x + 1| \le 5$

This breaks into two inequalities:

$4x + 1 \le 5$

and

$-4x - 1 \le 5$

----------------

$4x + 1 \le 5$

Subtract 1 to both sides:

$4x \le 4$

Divide 4 to both sides:

$x \le 1$

----------------

$-4x - 1 \le 5$

Add 1 to both sides:

$-4x \le 6$

Divide -4 to both sides, and we get $-\dfrac{6}{4}$, can you simplify that? @lopez9407

anonymous · Answer

let's test it.
lets to -2 = x.
can you solve this for me?

igreen · Answer

Can you simplify $-\dfrac{6}{4}$? @lopez9407

anonymous · Answer

x=-2

anonymous · Answer

-3/2

anonymous · Answer

I am confused guys i need that on a linear graph

anonymous · Answer

Please help me I got it wrong on my exam and want to know why one this one and two more problems. HELP!!!!

anonymous · Answer

1.5

igreen · Answer

Yep, you got it! @lopez9407 

So your answers are: $x \le 1$ and $x \ge -\dfrac{3}{2}$

igreen · Answer

Understand, @lopez9407 ?

anonymous · Answer

When i have a problem is doing the linear graph the answers are up here

igreen · Answer

This is what your graph looks like.

anonymous · Answer

I know how to solve it the part i do not get is how to graph it in the linear graph correctly

igreen · Answer

That's the linear graph above, when you graph the two solutions, the overlap area will be your solutions.

anonymous · Answer

<--------------------> in a graph like this is the one i do no understand how to do it