The sum of twice a number and 5 is at most 3 less than the number

2x + 5 ≤ x - 3

We can treat this like a usual algebraic equation.

Subtract x from both sides.

x + 5 ≤ -3

Subtract 5 from both sides.

x ≤ -8

Thus, x is less than or equal to the quantity -8.

We can test this by plugging in two values into the original inequality: a number greater than -8, and a number less than -8.

2x + 5 ≤ x - 3

We'll use 2 first.

2 * 2 + 5 ≤ 2 - 3

9 ≤ -1 × this is incorrect

Now  we'll use -10

2x + 5 ≤ x - 3

2 * -10 + 5 ≤ -10 - 3

-15 ≤ -13 √ this is correct

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

7

step-by-step explanation: