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 sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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