Solve the inequity for x and identify the graph of its solution.|x+2|<2
1 answer:
Given:
|x + 2| < 2
Let's solve for x.
Given the absolute value, we have 2 conditions. They are:
x + 2 < 2 and x + 2 > -2
Let's find x for both conditions.
Condition 1:
x + 2 < 2
Subtract 2 from both sides:
x + 2 - 2 < 2 - 2
x < 0
Condition 2:
x + 2 > -2
Subtract 2 from both sides:
x + 2 - 2 > -2 - 2
x > -4
Therefore,
x < 0 and x > -4
In interval notation, we have the solution as:
(-4, 0)
The graph of the inequality is below:
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Answer:
(-13, -4)
Step-by-step explanation:
It is about as easy to try the solutions as it is to find them from scratch.
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However, we can determine which one it is by adding twice the second equation to the first.
(-2a +3b) +2(a -4b) = (14) +2(3)
-5b = 20
b = -4 . . . . . . matches the first choice
