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GaryK [48]
3 years ago
14

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

Mathematics
2 answers:
expeople1 [14]3 years ago
5 0

Answer:

<u>Given system of inequalities:</u>

  • x + y < 5
  • 3x - y ≥ 4

<u>To solve the system follow the steps</u>

  • 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

<u>First inequality</u>

  • 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 <u>dotted</u> line.

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

<u>Second inequality</u>

  • 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 <u>solid</u> line.

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

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

WARRIOR [948]3 years ago
4 0

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

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\Large\maltese\underline{\textsf{A. What is Asked}}

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