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

Algebra ->  Graphs -> 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      Log On


   



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) About Me  (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) About Me  (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) About Me  (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, ∞)