Question

Write a system of linear inequalities represented by the graph. Inequality 1: Inequality 2:

Answer 1

Answer:

Inequality (1) → y > 2x

inequality (2) → x ≥ -2

Step-by-step explanation:

If the inequality (1) is a dotted line passing through origin.

Since, shaded area is above the dotted line,

Equation of the inequality will be in the form of y > mx +b

Here m = slope of the dotted line

b = y-intercept

Since, this line is passing through the origin,

Therefore, y-intercept = 0

Slope 'm' of the line = $\frac{\text{Rise}}{\text{Run}}$

                                 = $\frac{2}{1}$

                             m = 2

Inequality (1) → y > 2x

Second inequality is represented by the shaded area on the right side of  the dark vertical line, x = -2,

Therefore, inequality 2 will be → x ≥ -2