Here are the steps in graphing the linear inequality.
1. Convert the linear inequality into a slope-intercept form or by converting the equation into y = or y > or y <.
a. Isolate the variable "y" on the left side of the inequality by subtracting 5x on both sides of the inequality.
b. Divide both sides of the inequality by 2.
c. Rearrange the terms on the right side.
2. From the converted inequality, we can see that the<em> slope is -5/2 while the y-intercept is 5.</em>
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Let's plot the y-intercept at (0, 5) first.
Then, using the slope -5/2, let's find another point that is 5 units downward and 2 units to the right of the y-intercept.
3. Connect the dots using a dotted line since the inequality symbol is <. Then, shade the part below the line since the inequality symbol is "less than".
The final graph of the given linear inequality is shown below:
