Solve the inequality 2c/3+1>7

The solution of the given inequality is c > 9

From the question,

The given inequality is 2c/3+1>7

Before solving, let us write the given inequality properly

The given inequality written properly is

Now, to solve an inequality means to determine the value of the variable (in this case, c) that satisfies the inequality.

To determine the value of c in the inequality

First, subtract 1 from both sides

This becomes

Now, multiply both sides by 3

Now, divide both sides by 2

∴ c > 9

Hence, the solution of the given inequality is c > 9

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c > 9

Step-by-step explanation:

To solve the inequality, we would have to get it into one of these four forms:

where n is a constant.

2c/3 + 1 > 7

Subtract 1 from both sides to remove the "+1" on the left side.

2c/3 > 7 - 1

Simplify.

2c/3 > 6

Multiply both sides by 6 to remove the "/3" on the left side.

2c > 6 · 3

Simplify.

2c > 18

Divide both sides by 2 to remove the coefficient of "2" on the left side.

c > 18/2

Simplify.

c > 9

c > 9 is in the form c > n, where n is 8. c > 9 would be the solution.

c > 9

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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;