Find a solution of inequality 2x+y<10

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).

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

explanation:

step-by-step explanation: