Question

What is the solution to 56x−13>113 ?

Responses

x>2518
x is greater than 25 eighteenths

x<2518
x is less than 25 eighteenths

x>2
x is greater than 2

x<2

Answer 1

`x > (9)/(4) \\\\`

or

x > 2.25

This does not fit any of the provided answer choices. Either the inequality is copied wrong or the answer choices are copied wrong

Explanation:

The inequality is 56x - 13 > 113

Add 13 to both sides:
56x - 13 + 13 = 113 + 13

56x > 126

Divide by 56 both sides

`(56x)/(56) > (126)/(56)`

Reducing the above fraction to lowest by dividing numerator and denominator by 14 to get:

`x > (126 / 14)/(56/ 14)\\\\x > (9)/(4)`

None of your answer choices fit. So not sure whether the inequality given is incorrectly copied/pasted or the answer choices are.

The closest this comes to is x > 2 but the inequality will not be satisfied for any value of x between 2(excluded) and 2.25(included)

Answer 2

x > 2

Explanation:

To solve the inequality 56x - 13 > 113, you can start by isolating the variable on one side of the inequality. Subtract 113 from both sides:

56x - 113 > 0

Next, add 113 to both sides:

56x > 113

Finally, divide both sides by 56:

x > 2

So the solution is x > 2, meaning that x can be any value greater than 2.