First, you must find the value of x:
2x - 5.3 < 9.8
Add 5.3 on both sides:
2x - 5.3 + 5.3 < 9.8 + 5.3
2x < 15.1
Divide both sides by 2:
2x/2< (15.1)/2
x < 7.55
Therefore, the solution is x < 7.55 (which is a vertical dashed line due to the “ < “ symbol).
Linear equations in the form x = a is a vertical line, with an undefined slope, and has an x-intercept of (a, 0).
Before graphing, you must choose a convenient test point to know which region of the half-plane to shade.
Let’s choose (0, 0) as a convenient test point. Plug these values into the equation, x < 7.55:
x < 7.55
0 < 7.55 (true statement). Therefore, you must shade the region where it contains this test point. Start at the x-intercept, (7.55,0) and draw a vertical dashed line from that point. Shade the left-side region of the half-plane.
The graph should look like the attached image.
Please mark my answers as the Brainliest if you find my explanations helpful :)
