Question

Find a solution of inequality 2x+y<10

Answer 1

Option C:

The solution of inequality 2x + y < 10 is (5, –3).

Solution:

Given inequality is 2x + y < 10.

Lets substitute the given points in the inequality and find the solution.

Option A: (6, –1)

2(6) + (–1) < 10

12 – 1 < 10

11 < 10

This is false because 11 > 10.

Therefore (6, –1) is not the solution of the inequality.

Option B: (1, 10)

2(1) + (10) < 10

2 + 10 < 10

12 < 10

This is false because 12 > 10.

Therefore (1, 10) is not the solution of the inequality.

Option C: (5, –3)

2(5) + (–3) < 10

10 – 3 < 10

7 < 10

This is true.

Therefore (5, –3) is the solution of the inequality.

Option D: (5, 5)

2(5) + (5) < 10

10 + 5 < 10

15 < 10

This is false because 15 > 10.

Therefore (5, 5) is not the solution of the inequality.

Hence Option C is the correct answer.

The solution of inequality 2x + y < 10 is (5, –3).