Question

question 21 of 25
which ordered pair is a solution to the system of inequalities?
y < 3x
y < 5

a. (1, 3)
b. (-12, 50)
c. (4, 10)
d. (9, 4)

Explanation:

Step1: Check Option A (1, 3)

Substitute \(x = 1\), \(y = 3\) into \(y<3x\): \(3<3\times1 = 3\)? No, \(3\) is not less than \(3\). So A is not a solution.

Step2: Check Option B (-12, 50)

Substitute \(x=-12\), \(y = 50\) into \(y<5\): \(50<5\)? No. So B is not a solution.

Step3: Check Option C (4, 10)

Substitute \(x = 4\), \(y = 10\) into \(y<5\): \(10<5\)? No. So C is not a solution.

Step4: Check Option D (9, 4)

First, check \(y<5\): \(4<5\), which is true. Then check \(y<3x\): \(4<3\times9 = 27\), which is also true. So D satisfies both inequalities.

Answer:

D. (9, 4)