Question

Given: 5x + 3 > 4x + 7. Choose the graph of the solution set.

Answer 1

Let's solve your inequality step-by-step.

5x+3>4x+7

Step 1: Subtract 4x from both sides.

5x+3−4x>4x+7−4x

x+3>7

Step 2: Subtract 3 from both sides.

x+3−3>7−3

x>4

Answer:

x>4

Answer 2

The graph in the attached figure

Explanation:

we have

`5x+3 > 4x+7`

solve for x

Group terms that contain the same variable, and move the constant to the opposite side of the inequality

`5x-4x > 7-3`

`x> 4`

The solution is the interval-------> (4,∞)

All real numbers greater than
`4`

The solution is the shaded area to the right of the vertical dashed line

see the attached figure