Question

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

a. (−2, −14)
b. (3, 5)
c. (−1, −9)
d. (0, −5)
e. (1, 3)

Answer 1

this is the answer A or B

Answer 2

The correct options are:

a. (−2, −14)

b. (3, 5)

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* (-2)\leq -6\\\\-14+8\leq -6\\\\-6\leq -6`

The inequality is true.

Hence, option: a is true.

b)

(3,5)

`5-4* 3\leq -6\\\\5-12\leq -6\\\\-7\leq -6`

The inequality is true.

Hence, option: b is true.

c)

(-1,-9)

`-9-4* (-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* 0\leq -6\\\\-5\leq -6`

which is a false identity.

Hence, option: d is incorrect.

e)

(1,3)

`3-4* 1\leq -6\\\\3-4\leq -6\\\\-1\leq -6`

which is a false identity.

Hence, option: e is incorrect.