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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Kaleerain5,
In order to get your answer you must remember that if the exponent is negative move to the left and if the exponent is positive you have to move to the right.
- The exponent is negative so move to the left:
Therefore your answer is ".000857."
Hope this helps!