Shade all numbers greater than 5 on the number line.
Here is a more detailed explanation of each step in graphing the inequality:
Step 1: Divide both sides of the inequality by 7.
This step is necessary because the inequality is not in the form x > a, where a is a number. To graph the inequality, we need to get it into this form.
To divide both sides of the inequality by 7, we can use the following rule:
If a > b and c > 0, then a/c > b/c.
In this case, a = 7x, b = 35, and c = 7. Therefore, we can divide both sides of the inequality by 7 to get:
7x/7 > 35/7
This simplifies to x > 5.
Step 2: Draw a number line and mark the point 5.
A number line is a line with numbers marked on it at equal intervals. To draw a number line, simply draw a straight line and mark a point at the origin (0). Then, mark points to the left and right of the origin at equal intervals.
In this case, we want to mark the point 5 on the number line. To do this, simply locate the point on the number line that is 5 units to the right of the origin.
Step 3: Since the inequality is x > 5, we shade the region to the right of 5.
This represents all the numbers that are greater than 5.
To shade the region to the right of 5, simply draw a solid line over the region to the right of 5.
The graph of the solution of the inequality 7x > 35 is a number line with an arrow pointing to the right of 5. This indicates that all the numbers greater than 5 are solutions to the inequality.