SOLUTION: The question asked: 1. Solve the inequality |4x-10|≥14 . Write the solution in interval notation and graph the solution set on the number line. This is what I did: 4x

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Question 923699: The question asked: 1. Solve the inequality |4x-10|≥14 . Write the solution in interval notation and graph the solution set on the number line.
This is what I did:
4x-10≥14 or 4x-10≤-14
Add 10 to both sides and it becomes: 4x≥24 or 4x≤-4
Divide both sides by 4 and it becomes: x≥6 or x≤-1
So now, how do I graph that on a number line?
Found 3 solutions by ewatrrr, Hawksfan, MathTherapy:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
-14 ≤ 4x-10 ≤ 14
-4 ≤ 4x ≤ 24
-1 ≤ x ≤ 6
Two vertical lines: x = -1 and x = 6
Shaded area between and including the Lines
Answer by Hawksfan(61)   (Show Source): You can put this solution on YOUR website!
<++++++++++++++++]-------------------------[++++++++++++++++++>
-1 6
[ represents greater than OR equal to in contrast to
( which is just greater than
+ is the shading for this graph
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
The question asked: 1. Solve the inequality |4x-10|≥14 . Write the solution in interval notation and graph the solution set on the number line.
This is what I did:
4x-10≥14 or 4x-10≤-14
Add 10 to both sides and it becomes: 4x≥24 or 4x≤-4
Divide both sides by 4 and it becomes: x≥6 or x≤-1
So now, how do I graph that on a number line?

Interval Notation: (- ∞,- 1][6, ∞)

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