Follow the three step process of an indirect proof.
See solution.
We are asked to write an indirect proof of the following claim.
Given:&5x+7≥ 52
Prove:&x≥ 9
To do so, let's follow the three step process of an indirect proof.
Step 1
First, we should assume that the claim is false.
Assume:x < 9
Step 2
Next, we need to look for some consequences of our assumption. We can do this by trying to match the left-hand side of our inequality with the left-hand side of the given inequality. We will use the Properties of Inequality to do this.