Graphing inequalities on the coordinate plane

Asked by maham237 @ 13/02/2021 in Mathematics viewed by 330 People

Graph the solution to the following linear inequality in the coordinate plane.

Answered by maham237 @ 13/02/2021

Hello,
Please, see the attached file.
Thanks.

Answered by maham237 @ 13/02/2021

Answer:

An inequality on a coordinate plane consist of a boundary line and a area in which each point is the possible solution.

If the inequality has a sign $'\geq' , '\leq'$ , then the line will be a solid line and its point are included in the solution.

If the inequality has a sign '>' , '<' then the line will be a dotted line and its point are not included in the solution.

Given the inequality: $5x-y>-3$

Subtract 5x from both sides we get;

$-y > -5x -3$

Multiply both sides by -1 we get;

$y < 5x + 3$

Graph:

Plot the boundary line y = 5x -3 (as a dotted because $y$ not included equal to) and

the shaded area below as $y < 5x -3$ as shown below in the graph.

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