SOLUTION: Can someone please help me with this, I'm stuck. Solve the following inequality. Write the answer using interval notation. (x-2)/(x+5)≤0 Thank you.

Algebra ->  Inequalities -> SOLUTION: Can someone please help me with this, I'm stuck. Solve the following inequality. Write the answer using interval notation. (x-2)/(x+5)≤0 Thank you.      Log On


   

Question 527467: Can someone please help me with this, I'm stuck.
Solve the following inequality. Write the answer using interval notation.
(x-2)/(x+5)≤0
Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following inequality. Write the answer using interval notation.
(x-2)/(x+5)≤0
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Solve the equality:
x-2 = 0
x = 2
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To solve the inequality:
Draw a number line.
Plot x = -5 and x = 2
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That creates 3 intervals on the line.
Check a value from each of the intervals to see where the solutions are.
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If x = -10 you get: -/- < 0 ; false
If x = 0 you get: -/+ < 0 ; true, so solutions in (-5,2]
If x = 10 you get: +/+ < 0 ; false
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Solution: -5< x <= 2
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cheers,
Stan