Question

Which points are solutions to the system of inequalities shown below?

Check all that apply.

y < x
y < 5
x < 4

A. (3, 4)
B. (6, 2)
C. (2, 1)
D. (0, -1)
E. (1, 7)
F. (3, 0)

Answer 1

C, D, and F would be your answers

Answer 2

C. (2, 1)

D. (0, -1)

F. (3, 0)

Explanation:

Since, in the given order pairs the first number shows the value of x and second number shows the the value of y,

Given system of inequalities,

y < x

y < 5

x < 4,

Now, the order pairs which are true for all inequalities of the system are called the solution of the system.

In option A, 3 < 4

In option E, 1 < 7,

They are not true for inequality x > y

⇒ They can not be the solution,

In option B , 6 > 4,

It is not true for the inequality x < 4,

⇒ It can not be the solution.

Hence, the option which are true for the above system of inequalities are,

C. (2, 1)

D. (0, -1)

F. (3, 0)