Solve for x: |3x+5| ≤4?
(A) -3 ≤x≤ -1/3
(B) -3≤x≤ 1/3
(C) -1/3≤x≤ -1/3
(D) -1/3≤x≤ 3
(E) 1/3≤x≤3
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(A) -3 ≤x≤ -1/3
(B) -3≤x≤ 1/3
(C) -1/3≤x≤ -1/3
(D) -1/3≤x≤ 3
(E) 1/3≤x≤3
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|3x+5| ≤4
| 3x + 5 | ≤ 4
| 3x + 5 | ≥ -4
Solve both of those to get your two solutions to put x in between.
3x + 5 ≤ 4
3x ≤ -1
x ≤ -1/3
3x + 5 ≥ -4
3x ≥ -9
x ≥ -9/3
x ≥ -3
Solution set: -3 ≤ x ≤ -1/3
Answer: (A)
|3x + 5| ⤠4
Answer choice:
(A) -3 ⤠x ⤠-1/3
-4 ⤠3x + 5 ⤠4
-9 ⤠3x ⤠-1
-3 ⤠x ⤠-1/3
A
|3x + 5| ⤠4
|3x| ⤠-1
|x| ⤠-1/3
Answer choice:
(A) -3 â¤x⤠-1/3
|3x + 5| ⤠4
-4 ⤠3x + 5 ⤠4
-4 - 5 ⤠3x + 5 - 5 ⤠4 - 5
-9 ⤠3x ⤠-1
-9/3 ⤠3x/3 ⤠-1/3
-3 ⤠x ⤠-1/3