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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Using proportions, the value of x that makes the triangle similar is of x = 14.
<h3>What is a proportion?</h3>A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we want the triangles to be similar, hence the lengths of it's sides follow the proportion given next:
Applying cross multiplication:
6x = 12 x 7
x = 2 x 7
x = 14.
The value of x that makes the triangle similar is of x = 14.
More can be learned about proportions at brainly.com/question/24372153
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