10. Solve the inequalities and compare. a. Solve 2x+6 < 10.
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Graph the inequality y> 2x +3
Solution
<u>Step 1: </u>To graph the inequality, we need to find a few coordinates and form the table.
<u>Step 2:</u> Forming the table.
Let's take x = -1 and find the value of y.
Plug in x = -1 and find the value of y.
y = 2(-1) + 3 = -2 + 3 = 1
When x = -1, the value of y is 1.
So the coordinates are (-1, 1)
Plug in x = 0 and find the value of y.
y = 2(0) + 3 = 3
The coordinates are (0, 3)
Plug in x =1 and find the value of y.
y = 2(1) + 3 = 2 + 3 = 5
The coordinates are (1, 5)
<u>Steo 3: </u>Now let's plot the points and draw the graph.
Since the graph is greater than, we have to draw the dotted lines and shade the region above.
Note: You can find the graph in the attachment.
Thank you :)
I hope this helps you
