the graph of inequality 3x + 5y ≤ 17 is__ a)a straight line b)half plane c)a curve d)a plane
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Concept:
An inequality can be represented graphically as a region on one side of a line. Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region.
Given:
We are given an inequality, 3x + 5y ≤ 17.
To find:
We need to find what type of a line it is on a graph.
Solution:
Now to begin with we need to plot the graph for line 3x + 5y = 17
Then, lets understand which region of the solution.
For (0,0)
Then substitute the value of x and y then,
3(0) + 5(0) ≤ 17
0 ≤ 17 [this is true]
The region lies where the origin lies.
Therefore, the inequality is straight line with a given region.
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