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:

Given system of inequalities:

• x + y < 5
• 3x - y ≥ 4

To solve the system follow the steps

• Find x- intercept and y-intercept of the lines
• Connect them with a solid line if the inequality includes equal symbol as well ( ≥ or ≤ ) and connect the points with a dotted line if the inequality is purely > or <
• Shade the regions for each inequality
• The region with double shading is the solution of the system

First inequality

• x + y < 5 ⇒ y < - x + 5
• x- intercept: y = 0 ⇒ x = 5
• y-intercept: x = 0 ⇒ y = 5

Connect the points (0,5) and (5,0) with a dotted line.

Shade the region below (or to the left) the line. This is the region A in the picture

Second inequality

• 3x - y ≥ 4 ⇒ y ≤ 3x - 4
• x - intercept: y = 0 ⇒ x = 3x = 4 ⇒ x = 4/3 = 1.333
• y - intercept: x = 0 ⇒ y = -4

Connect the points (0, -4) and (1.333, 0) with a solid line.

Shade the region below (or to the right) the line. This is the region B in the picture.

The region AB in the picture is the solution of the system.

Answer 2

The covered blue part ..........................