Solve the absolute value inequality for y: 4\geq -y+|2x-1|

Antinazius

Antinazius

Answered question

2021-12-04

Solve the absolute value inequality for y:
4y+|2x1|

Answer & Explanation

memomzungup4

memomzungup4

Beginner2021-12-05Added 14 answers

4y+|2x1|
y+4yy+|2x1|
y+4|2x1|
This has two possibilities,
y+42x1...(i)
and, y+42x1...(ii)
From (i):
y+42x1
y2x5...(iii)
and from (ii):
y+42x1
y2x5...(iv)
Combining (iii) and (iv) we get,
y|2x5|
Solution to the inequality is y|2x5|

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