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steposvetlana [31]
3 years ago
13

Which inequality is equivalent to this one?

Mathematics
2 answers:
Tju [1.3M]3 years ago
6 0

Answer:

D  y-8 +2 ≤ -2+2

Step-by-step explanation:

y-8 ≤ -2

Add 2 to each side

y-8 +2 ≤ -2+2

zzz [600]3 years ago
5 0
<h2>Answer:</h2>

The inequality which is equivalent to the given inequality is:

        D.   y-8+2\leq -2+2

<h2>Step-by-step explanation:</h2>

We are given a inequality as:

               y-8\leq -2

which on simplifying gives.

i.e. on adding 8 on both side of the inequality we get:

      y\leq 6

A)

       y-8+8\geq -2+8

on simplifying we gets:

   y\geq 6

which does not matches the actual inequality.

Hence, option: A is incorrect.

B)

          y-8+8

on solving we get:

y

which is not equivalent to the given inequality.

Hence, option: B is incorrect.

C)

          y-8+2\leq -2+8

on simplifying we get:

 y-6\leq 6

Now on adding both side of the inequality by 6 we get:

    y\leq 12

which again does not matches.

Hence, option: C is incorrect.

D)

          y-8+2\leq -2+2

on simplifying we get:

     y-6\leq 0\\\\i.e.\\\\\\y\leq 6

It matches the actual expression.

      Hence, option: D is correct.

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