twice the difference of a number and 8 is at least -24

Answer 1

Twice the difference of a number and o is at least -24

What words/phrases in the sentence indicate a math operation or symbol (NOT a number)?

Twice

the difference

a number

at least

TWICE: 2 times (multiply times 2)

THE DIFFERENCE: subtraction

A NUMBER: unknown value or variable (x)

AT LEAST: the result will be -24 at the very least, so it can result in -24 but no less than that. It will have to have a result of -24 or higher.

Now, when it says TWICE the difference of a number and 8, that means that whatever the difference is between the unknown number (x) and 8 OR whatever x - 8 equals, we will multiply that result by 2. That tells us that we need to do the subtraction of x and 8 first and then multiply the difference by 2

2(x - 8)

Lastly, whatever the result is of the above expression, it must be AT LEAST -24, so we are dealing with an inequality.

2(x - 8) ≥ -24

Answer 2

twice the difference of a number and 8 is at least -24

This is a problem with multiple steps. For our purposes, I am going to say "x" is the variable in this case.

the difference of a number and 8 can be written as x-8

Twice (the difference of a number and 8) can be written as 2(x-8)

Rember the phrase "at least", this means that the number can be greater than or equal to -24.

This information should help you set up the problem and others like it. Hope this helps!

Answer 3

Hi Maddie C

twice the difference of a number and 8 is at least -24

Just follow the set up as given

Let n = a number

The set up involves a quantity, a difference and a multiple of that difference

Let (n -8) be your quantity

Let 2(n - 8) be the multiple

Everything has to satisfy the condition of of having a minimum value of -24; your quantity cannot be smaller than -24.

So let me know if this works for you or if I've misinterpreted your problem

2(n-8) >= -24