What is the solution to the inequality?-6 + I2p+3I > 7
A.
The first step to solve the inequality is to isolate the absolute value term.
-6 + |2p + 3| > 7
Next, we can isolate the absolute value term by adding 6 to both sides.
|2p + 3| > 13
Now, we need to consider two cases.
If 2p + 3 is positive, then |2p + 3| = 2p + 3.
2p + 3 > 13
2p > 10
p > 5
If 2p + 3 is negative, then |2p + 3| = -(2p + 3).
-(2p + 3) > 13
-2p – 3 > 13
-2p > 16
p < -8
Therefore, the solution to the inequality is p < -8 or p > 5.
More Answers:
Simplifying Complex Fractions: A Step-by-Step Guide with ExampleIsolating and Solving Exponential Equations: A Step-by-Step Guide to Find Solutions.
Learn How to Find the Inverse of a Function: Step-by-Step Guide with Example
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded