In mathematics, an inequality is an expression of comparison between two values. An inequality can be solved by finding the value of the variable that makes the inequality true. In the case of our equation, 3p + 16 > 20, we are looking for the value of p that will make this equation true. In this article, we will look at the steps for solving this inequality.
Step 1: Subtract 16 from both sides of the equation
The first step in solving this inequality is to subtract 16 from both sides of the equation. This will leave us with 3p > 4. The reason we subtract 16 is to isolate the variable p on the left side of the equation.
Step 2: Divide both sides of the equation by 3
The second step is to divide both sides of the equation by 3. This will leave us with p > 4/3. The reason we divide both sides by 3 is to isolate the variable p on the right side of the equation.
Step 3: Solve for p
The third and final step is to solve for p. We can do this by determining the value of p that will make the inequality true. In this case, p must be greater than 4/3 for the equation to be true. Therefore, the solution to this inequality is p > 4/3.
In conclusion, we can see that solving the inequality 3p + 16 > 20 is fairly straightforward. All we need to do is subtract 16 from both sides of the equation, divide both sides by 3, and then solve for p. The solution to this inequality is p > 4/3. With a few simple steps, we can solve any inequality with ease!
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