PLEASE help , im confused.
Sue made a small mistake.
4x -1 ≤ -23 AND 4x -1 ≥ 23
4x ≤ -23 +1........4x ≥ 23 +1
4x ≤ -22............4x ≥ 24
x ≤ -22/4...........x ≥ 24/4
x ≤ -5 1/2..........x ≥ 6
Answer:
-5 1/2 ≥ x ≥ 6
Number line:
<====*--------*=====>
. -6.-5.5........6..7..8
Interval notation:
(-∞, -5.5] U [6, ∞)
Absolute value inequalities have two versions
4x - 1 ⤠-23 or 4x - 1 ⥠23
4x ⤠-22................4x ⥠24
x ⤠-22/4.................x ⥠24/6
x ⤠-11/2.................x ⥠4
x ⥠7
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Verified answer
Sue made a small mistake.
4x -1 ≤ -23 AND 4x -1 ≥ 23
4x ≤ -23 +1........4x ≥ 23 +1
4x ≤ -22............4x ≥ 24
x ≤ -22/4...........x ≥ 24/4
x ≤ -5 1/2..........x ≥ 6
Answer:
-5 1/2 ≥ x ≥ 6
Number line:
<====*--------*=====>
. -6.-5.5........6..7..8
Interval notation:
(-∞, -5.5] U [6, ∞)
Absolute value inequalities have two versions
4x - 1 ⤠-23 or 4x - 1 ⥠23
4x ⤠-22................4x ⥠24
x ⤠-22/4.................x ⥠24/6
x ⤠-11/2.................x ⥠4
x ⥠7