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.

Question

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.

anonymous · Answer

solve for 
4x+1<=5                         and                             4x+1>=-5

anonymous · Answer

so x=1 And 4x=-6?

anonymous · Answer

yes and 
isolate the x for the second part

anonymous · Answer

Ok so x=1 and X= 1.5 so how would i do the line graph cause i dont understand when it has to be shaded or not?

anonymous · Answer

I meant to put a negative sign in front of it sorry

anonymous · Answer

now you have x<=1 and x>=-1.5
or 
-1.5<=x<=1

anonymous · Answer

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