Answer:
x < -4 ∪ x > 4
Step-by-step explanation:
The absolute value function is shifted down 3 units. The solution space is values of x where y = |x|-3 is greater than 1. The solution is shown in red in the attachments, and the left and right (dashed) sides of the inequality are shown in blue.
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I personally prefer to rewrite the inequality so the comparison is to <em>zero</em>. That is done in the second attachment, which rewrites it to ...
|x| -4 > 0
by subtracting 1 from both sides. It is often easier to read the values of x-intercepts than it is to read the coordinate values where lines cross each other.
Step-by-step explanation:
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Answer:
Equation to solve is x+x+120=180
Solution to equation: x=30
Step-by-step explanation:
The angles in a triangle have a sum 180 degrees.
You know one angle is 120 degrees.
If you assume another angle has a measurement of x degrees, then the remaining angle has a measurement of x degrees. We know this because congruent means they will have the same measurement.
So we have this equation to solve:
x+x+120=180
Combine like terms:
2x+120=180
Subtract 120 on both sides:
2x=180-120
Simplify:
2x=60
Divide both sides by 2:
x=60/2
Simplify:
x=30
Answer:
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2/5 off basically means that it is 40% off
1240 * 40% = 496
1240 - 496 =
744
