Show me the graph of
10x + 7y < 49

The graph is attached.

Step-by-step explanation:

1. Solve for y, as following:

2. The equation of the line in slope intercept form is:

Where m is the slope and b is the y-intercept.

3. In this case the equation of the line is:

then:

4. Find the x-intercept. Make y=0. Then:

5. Then, plot the line that passes through the points (0,7) and (4.9, 0).

6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.

Then you obtain the graph attached.