Question

Which test point holds true for y − 2x ≤ 1?

A.
(0, 2)

B.
(-2, 4)

C.
(1, 4)

D.
(5, 0)

Answer 1

Try each one:

A) 2 - 2(0) <=? 1

0 IS less than or equal to 1, so it works.

B) 4 - 2(-2) <=? 1

4 + 4 = 8, which is not less than or equal to 1.

C)4 - 2(1) <=? 1

4 - 2 = 2, which is not less than or equal to 1.

Finally, D) 0 - 2(5) <= ? 1

0 + 10 = 10, which isn’t less than or equal to 1.

The only one that works is (A).

Answer 2

Answer: The correct option is (D). (5, 0).

Step-by-step explanation: The given inequality is

`y-2x\leq 1.`

we are to select the test point that holds true for the above inequality.

Option (A) is (x, y) = (0, 2).

`L.H.S=y-2x=2-2* 0=2-0=2>1=R.H.S.`

So, this point will not hold true.

Option (B) is (x, y) = (-2, 4).

`L.H.S=y-2x=4-2* (-2)=4+4=8>1=R.H.S.`

So, this point will not hold true.

Option (C) is (x, y) = (1, 4).

`L.H.S=y-2x=4-2* 1=4-2=2>1=R.H.S.`

So, this point will not hold true.

Option (D) is (x, y) = (5, 0).

`L.H.S=y-2x=0-2* 5=0-10=-10<1=R.H.S.`

So, this point will hold true.

Therefore, the correct test point is (5, 0).

Thus, option (D) is correct.