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Question 7 of 10

Consider the inequality 3 (-1-2) <-26 – 3.3.
The solution set of the inequality is:
Select one
The graph of the solution set is
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Pleaseen help meee
Ayudenmee

1 Answer

3 votes

Answer:

203

——— < 0

10

Explanation:

Changes made to your input should not affect the solution:

(1): "3.3" was replaced by "(33/10)".

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

3*(-1-2)-(-26-(33/10))<0

33

Simplify ——

10

33

-9 - (-26 - ——) < 0

10

Subtracting a fraction from a whole

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

-26 -26 • 10

-26 = ——— = ————————

1 10

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

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

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:

-26 • 10 - (33) -293

——————————————— = ————

10 10

-293

-9 - ———— < 0

10

Subtracting a fraction from a whole

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

-9 -9 • 10

-9 = —— = ———————

1 10

Adding up the two equivalent fractions

-9 • 10 - (-293) 203

———————————————— = ———

10 10

203

——— < 0

10

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