Question

Seven more than the quotient of a number b and 45 is greater than 5.

Answer 1

Answer/Step-by-step explanation:

Given:

Seven more than the quotient of a number b and 45 is greater than 5

So:

Seven more than the quotient of a number b and 45 is greater than 5

=

7 + b/45 > 5

Solve if needed:

`\begin{bmatrix}\mathrm{Solution:}\:&\:b > -90\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-90,\:\infty \:\right)\end{bmatrix}`

`\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}`

`7+(b)/(45)-7 > 5-7`

`\mathrm{Simplify}`

`(b)/(45) > -2`

`\mathrm{Multiply\:both\:sides\:by\:}45`

`(45b)/(45) > 45\left(-2\right)`

`\mathrm{Simplify}`

`b > -90`

~Lenvy~