Question

which inequality is equivalent to this one?


y-8 <(with the line under it) -2

A. y-8+8 >(with the line under it) -2+8
B. y-8+8 < -2+8
C. y-8+2 <(with the line under it)-2+8
D. y-8+2 <(with the line under it)-2+2

Answer 1

Answer:

D  y-8 +2 ≤ -2+2

Step-by-step explanation:

y-8 ≤ -2

Add 2 to each side

y-8 +2 ≤ -2+2

Answer 2

Answer:

The inequality which is equivalent to the given inequality is:

        D.   $y-8+2\leq -2+2$

Step-by-step explanation:

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)

          $y-8+8<-2+8$

on solving we get:

$y<6$

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.