translating a sentence into a multistep inequality. please help

Question

Translate the sentence into an inequality.
Six times the sum of a number and
24

is at most
19

.
Use the variable
x

for the unknown number.

Answer 1

The first step is to read through the problem and put together a formula based on the information given:

"Six times": 6* ?

"the sum of a number and 24": ? = x +24   --> this part needs to be put in parentheses so the 6 can be multiplied to the whole set ?= (x+24)

 

So far, our problem looks like: 6*(x+24)

 

Then our range is "at most 19", or a maximum of 19, so 6*(x+24) can be equal to everything less than and equal to 19.

 

The less than sign has "the mouth of the alligator" eating the bigger number.

 

Since 19 is a maximum, the equation looks like this: 6*(x+24) ≤ 19