Four times a number decreased by 6 is less than -2. define a variable, write an inequality, and solve for the number

The inequality is 4x - 6 < - 2 and solution for number is x < 1, where "x" is the variable

Solution:

Given that four times a number decreased by 6 is less than -2

To find: Define a variable, write an inequality, and solve for the number

Let "x" be the required number

From given information,

four times a number decreased by 6 < -2

four times "x" decreased by 6 < - 2

Here "times" represents multiplication. Four times x means 4 is multiplied by x

Decreased means something is subtracted away

Here 6 is subtracted from four times "x"

So we frame a inequality as:

4x - 6 < - 2

Moving -6 from R.H.S to L.H.S,

4x < -2 + 6

4x < 4

Dividing both sides by 4,

x < 1

Thus the inequality is 4x - 6 < - 2 and solution for number is x < 1

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!