Which inequality is the solution to 20 + 2 < x/3 - 8?

a. x > 10
b. x > 42
c. x > 90
d. x > 114

The answer to your question is letter c. x > 90

Step-by-step explanation:

Inequality, we solve an inequality in the same way as we solve an equation.

                              20 + 2 <  x/3 - 8

Simplify

                              22 < x/3 - 8

Add 8 units to both sides

                              22 + 8 < x/3 - 8 + 8

Simplify

                              30 < x/3

Multiply both sides by 3

                              3(30)  <  3(x/3)

Simplify

                               90   <  x       or   x > 90

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!