Question

Hi there! Can someone help me with this, i need a proper answer, i don't need LINKS or FILES for the explanations.

Answer 1

Answer:

Using below system of inequalities

• y > 2x - 3
• y < x + 1

Following the rules

• 1. Finding x- and y - intercepts
• 2. Connecting with dotted line for each as no equal symbol present in any inequality
• 3. Shade respective regions
• 4. Solution is the intersection of the shades regions
• 5. Select any three points in the solution region

Line 1

• y > 2x - 3
• x- intercept: y = 0 ⇒ 0 = 2x - 3 ⇒ 2x = 3 ⇒ x = 1.5
• y - intercept: x = 0 ⇒ y = -3
• Shaded region is above the line (or to the left)

Line 2

• y < x + 1
• x- intercept: y = 0 ⇒ 0 = x + 1 ⇒ x = -1
• y - intercept: x = 0 ⇒ y = 1
• Shaded region is below the line (or to the right)

Selected points are:

• (-1, -1), (1, 1), (2, 2)