SOLUTION: Solve the inequality check my answer please |8-5x|≤3 answer in interval form Break into two inequalities 8-5x≤3 -5x≤-5 x≥1 and 8-5x≥-3 -

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Question 948287: Solve the inequality check my answer please
|8-5x|≤3 answer in interval form
Break into two inequalities
8-5x≤3
-5x≤-5
x≥1
and
8-5x≥-3
-5x≥-11
x≤11/5
In interval form: (-∞,1]U[11/5,∞)
Is this correct?
Thanks

Found 2 solutions by Alan3354, Fombitz:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the inequality check my answer please
|8-5x|≤3 answer in interval form
Break into two inequalities
8-5x≤3
-5x≤-5
x≥1
and
8-5x≥-3
-5x≥-11
x≤11/5
In interval form: (-∞,1]U[11/5,∞)
Is this correct?
============================
Your calculations are correct.
But,
1 <= x <= 11/5
or [1,2.2]

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You got the correct solution but then made a mistake in the interval notation.
x%3E=1 and x%3C=11%2F5 so together it would be
1%3C=x%3C=11%2F5
[1,11%2F5]