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)

The correct options are:

      a. (−2, −14)

      b. (3, 5)  

We are given a linear inequality as follows:

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)

The inequality is true.

Hence, option: a is true.

b)

    (3,5)

The inequality is true.

Hence, option: b is true.

c)

     (-1,-9)

which is a false identity.

Hence, option: c is incorrect.

d)

    (0,-5)

which is a false identity.

Hence, option: d is incorrect.

e)

         (1,3)

which is a false identity.

Hence, option: e is incorrect.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1