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What is the solution to the inequality -x/10>-11​

2 Answers

9 votes

Answer:

x > - 110

Explanation:

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

x / 10 - ( -11 ) > 0

x

Simplify ——

10

x

—— - -11 > 0

10

Subtracting a whole from a fraction

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

-11 -11 • 10

-11 = ——— = ————————

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 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:

x - (-11 • 10) x + 110

——————— = ———————

10 10

x + 110

——————— > 0

10

Multiply both sides by 10

Subtract 110 from both sides

x > -110

Inequality plot for

0.100 x + 11.000 > 0

x > -110

User Piedad
by
4.0k points
6 votes

Answer:

x<110

Explanation:

-x/10>-11

-x>-11*10

-x>-110

x>110

x<110

User Grady Player
by
4.2k points