Question

Which ordered pairs are solutions to the inequality y−4x≤−6 ? select each correct answer.

Answer 1

Answer:

The correct options are:

      a. (−2, −14)

      b. (3, 5)  

Step-by-step explanation:

We are given a linear inequality as follows:

                 $y-4x\leq -6$

Now, we are asked to find which ordered pairs are solutions to the given inequality.

i.e. we will check which ordered pair satisfies the given inequality.

a)

    (-2,-14)

$-14-4\times (-2)\leq -6\\\\-14+8\leq -6\\\\-6\leq -6$

The inequality is true.

Hence, option: a is true.

b)

    (3,5)

$5-4\times 3\leq -6\\\\5-12\leq -6\\\\-7\leq -6$

The inequality is true.

Hence, option: b is true.

c)

     (-1,-9)

$-9-4\times (-1)\leq -6\\\\-9+4\leq -6\\\\-5\leq -6$

which is a false identity.

Hence, option: c is incorrect.

d)

    (0,-5)

$-5-4\times 0\leq -6\\\\-5\leq -6$

which is a false identity.

Hence, option: d is incorrect.

e)

         (1,3)

$3-4\times 1\leq -6\\\\3-4\leq -6\\\\-1\leq -6$

which is a false identity.

Hence, option: e is incorrect.

Answer 2

This is the answer A or B