Answer :
The system of two-variable linear inequalities is shown below:
(A) x² + y > 35
2x + 5y < 14
(C) x + y = 35
2x + 5y ≤ 14
(D) x + y > 35
2x + 5y < 14
What are linear inequalities?
A linear inequality in mathematics is an inequality involving a linear function.
A linear inequality contains one of the symbols of inequality.
It displays non-equal data in graph style.
An inequality with two variables to the power of one and numerous signs of inequality is referred to as a two-variable linear system of inequalities.
Less than (), more than (>), less than equal to (≤), and more than equal to (≥) are all indications of this disparity.
So, a general format for expressing a linear inequality of two variables is as follows:
ax + by c
ax + by c
ax + by < c
ax + by > c
Now, from the given equations:
(A) Quadratic inequality with two variables has the form x2 + y > 35. (X)
A linear inequality of two variables is formed by 2x + 5y 14. (√)
(B) The linear equation x + y = 35 has two variables. (X)
The linear equation 2x + 5y = 14 has 2 variables. (X)
(C) The linear equation x + y = 35 has two variables. (X)
The form of a two-variable linear inequality is 2x + 5y 14. (√)
(D) The linear inequality of two variables with x + y > 35. (√)
A linear inequality of two variables is formed by 2x + 5y 14. (√)
Therefore, the system of two-variable linear inequalities is shown below:
(A) x² + y > 35
2x + 5y < 14
(C) x + y = 35
2x + 5y ≤ 14
(D) x + y > 35
2x + 5y < 14
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