Question

11) Write an express to describe the following sentence then solve for that number:Two times a number is greater than half that number and 14.

Answer 1

y > 9 1/3

Step-by-step explanation:

Let the number = y

Two times a number = 2y

half the number = 1/2 (y) = y/2

half that number and 14 = y/2 + 14

Two times a number is greater than half that number and 14:

2y > y/2 + 14

we solve for y:

2y > y/2 + 14

2y - y/2 > 14

`\begin{gathered} (2(2y)-y)/(2)>\text{ 14} \\ (4y-y)/(2)>\text{ 14} \\ 4y\text{ - y > 14(2)} \end{gathered}`

3y > 28

y > 28/3

y > 9 1/3