Determine wheter a number satisfies am inequality using inequality statements
1 answer:
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For this case we must indicate the solution set of the given inequalities:
Subtracting 14 from both sides of the inequality we have:
Dividing by 6 on both sides of the inequality:
We multiply by -1 on both sides, taking into account that the sense of inequality changes:
Thus, the solution is given by all values of x greater than 7.
On the other hand we have:
Subtracting 15 from both sides of the inequality we have:
Dividing between 9 on both sides of the inequality we have:
Thus, the solution is given by all values of x less than -3.
Finally, the solution set is:
(-∞, - 3) U (7,∞)
Answer:
(-∞, - 3) U (7,∞)
Complete question:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?
A) segment a double prime b double prime = segment ab over 2
B) segment ab = segment a double prime b double prime over 2
C) segment ab over segment a double prime b double prime = one half
D) segment a double prime b double prime over segment ab = 2
Answer:
A) segment a double prime b double prime = segment ab over 2.
It can be rewritten as:
Step-by-step explanation:
Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.
We know segment A"B" equals segment AB multiplied by the scale factor.
A"B" = AB * s.f.
Since we are given a scale factor of ½
Therefore,
The equation that explains the relationship between segment AB and segment A"B" is
Option A is correct