If \(x \neq −2,\) then \(\dfrac{5x+10}{x+2}=\)
A. 2
B. 3
C. 4
D. 5
E. 6
[spoiler]OA=D[/spoiler]
Source: Princeton Review
If x ≠−2, then 5x+10x+2=5x+10x+2
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(5x+10)/(x+2) = (5(x+2))/(x+2) = 5Gmat_mission wrote:If \(x \neq −2,\) then \(\dfrac{5x+10}{x+2}=\)
A. 2
B. 3
C. 4
D. 5
E. 6
[spoiler]OA=D[/spoiler]
Source: Princeton Review
Answer: D
Cheers,
Brent
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Approach #2:Gmat_mission wrote:If \(x \neq −2,\) then \(\dfrac{5x+10}{x+2}=\)
A. 2
B. 3
C. 4
D. 5
E. 6
[spoiler]OA=D[/spoiler]
Source: Princeton Review
We're asked to evaluate (find the value of) the given expression.
Since all of the answer choices are constants (just numbers), we know that the given expression must evaluate to be ONE of the answer choices FOR ALL VALUES OF X.
So, let's test a value of x
Try x = 1
We get: (5x + 10)/(x + 2) = (5(1) + 10)/(1 + 2) = 15/3 = 5
Answer: D
Cheers,
Brent
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Simplifying, we have:Gmat_mission wrote:If \(x \neq −2,\) then \(\dfrac{5x+10}{x+2}=\)
A. 2
B. 3
C. 4
D. 5
E. 6
[spoiler]OA=D[/spoiler]
Source: Princeton Review
5(x + 2)/(x + 2) = 5
Answer: D
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