Because there is an total value inside this inequality. We enjoy to check out all of the different results, trying to digit it out the inside value of the authentic function is positive or negative.
So, resolving the equation... we enjoy to assume that |5+y| >= 0. In that case the lowest possible value will be -5. This will conditioned the worth of x. But the least possible is other -5. Doing the same article for the assumption that |5+y| <= 0, then the lowest value will be -105.
Resuming.
- If (5+y) is positive, consequently the least convenience of y is -5.
- If (5+y) is negative, later the least good point of y is -105.
To check your math. I have this that could facilitate.
Assuming 5+y positive and 4+x positive
y <= 91 - x
y >= -5
x >= -4
Then, y = -5 and -4 <= x <= 96
Assuming 5+y positive and 4+x negative
y <= 99 - x
y >= -5
x < -4
Then, y = -5 and -104 <= x <= -4
Assuming 5+y glum and 4+x positive
y > -101 + x
y < -5
x >= -4
Then, y = -105 and x = -4
Assuming 5+y negative and 4+x gloomy
y > -109 - x
y < -5
-x < 4
Then, y = -105 and x = -4
All the value be set them to find the least worth of y.
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