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I need help!!!! Please

I need help!!!! Please-example-1

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4 votes

Answer: Choice D


y \ge (2)/(5)x +2\\\\

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Work Shown:


2x - 5y \le -10\\\\-5y \le -2x-10\\\\y \ge (-2x-10)/(-5) \ \text{ ... see note1 below}\\\\y \ge (-2x)/(-5) - (10)/(-5)\\\\y \ge (2)/(5)x +2 \ \text{ ... answer is choice D}\\\\

Note1: when dividing both sides by a negative number, the inequality sign flips.

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Here's another approach that doesn't involve dividing both sides by a negative number.


2x - 5y \le -10\\\\2x \le -10+5y\\\\2x +10\le 5y\\\\5y \ge 2x+10 \ \text{ .... see note2 below}\\\\y \ge (2x+10)/(5)\\\\y \ge (2x)/(5) + (10)/(5)\\\\y \ge (2)/(5)x +2\\\\

Note2: I swapped the left and right sides. Doing this swap means that the inequality sign must flip as well.

User Katoch
by
8.3k points
6 votes

the answer is

y≥2x/5+2

Explanation:

we moved the y to the right site and the -10 to the left site

so we had

2x+10≤5y

and then we devided by 5

2x/5+10/5≤y

y≥2x/5+2

hopefully its correct

User Baalexander
by
7.4k points

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