Question

The mathematical statement below are all linear inequalities in two variables EXCEPT:

a.)3y<10-2y
b.)2x-y>6
c.)3x-5y_>15
d.)23_<3m-2n​

Answer 1

Answer: Option a: 3y < 10 - 2y

Explanation:

A linear inequality is something that can be written as:

y > a*x + b

or

y < a*x + b

So we need to see which inequality of the given ones CAN'T be written in this way.

a) 3*y < 10 - 2*y

Here we can see that we have only one variable, so this can not be a linear inequality.

b) 2*x - y > 6

We can rewrite this as:

y < -6 + 2*x

Then this is a linear inequality.

c) 3x-5y ≥ 15

This can be rewritten as:

y ≤ (3/5)*x - 15/5

Then this is a linear inequality.

d) 23 ≤ 3m - 2n

This can be rewritten as:

m ≥ (2/3)*b + 23/3

This is a linear inequality.

Then the option that is not a linear inequality in two variables is option a.