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9. I think the answer is letter A or letter B

Which number is a solution of the inequality?

b > 11.3

A. –14

B. 15

C. 9

D. 4

1 Answer

1 vote

Answer:

B. 15

Explanation:

Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.3" was replaced by "(113/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

b-((113/10))>0

Step by step solution :

STEP

1

:

113

Simplify ———

10

Equation at the end of step

1

:

113

b - ——— > 0

10

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 10 as the denominator :

b b • 10

b = — = ——————

1 10

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b • 10 - (113) 10b - 113

—————————————— = —————————

10 10

Equation at the end of step

2

:

10b - 113

————————— > 0

10

STEP

3

:

3.1 Multiply both sides by 10

3.2 Divide both sides by 10

b-(113/10) > 0

Solve Basic Inequality :

3.3 Add 113/10 to both sides

b > 113/10

Inequality Plot :

3.4 Inequality plot for

b - 11.300 > 0

One solution was found :

b > 113/10

Which number is a solution of the inequality?

b > 11.3

The answers are 15,9,-14, and 4

15

User Lev Kazakov
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