Question

Which graph shows the solution to the system of linear inequalities below?

Answer 1

Option (D)

Explanation:

Given inequalities are,

`y>-(1)/(3)x+2` --------(1)

y > 2x - 3 ------(2)

Inequality (1) will be represented by a dotted line having negative slope and y-intercept = 2 → (blue line)

And the solution set will lie in the region left to the dotted line.

Similarly, inequality (2) will be represented by a dotted line with positive slope and y-intercept = (-3) → (red line)

Area above the red line will be the solution set for this inequality.

And the common area of both the inequalities will be solution area to the system of linear inequalities.

Option (D) will be the answer.