Solve the inequality. use interval notion to state the solution (x+3)^2>2(x^2+7)

we conclude that:

Hence, (1, 5) is the solution in interval notation.

Please also check the attached graph.

Step-by-step explanation:

Given the inequality expression

as

(x + 3)² = x² + 6x + 9

2(x² + 7) = 2x² + 14

so

rewriting in the standard form

Factor -x² + 6x - 5:  - (x - 1) (x - 5)

Multiply both sides by -1 (reverse the inequality)

Simplify

so

Therefore, we conclude that:

Hence, (1, 5) is the solution in interval notation.

Please also check the attached graph.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: