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Lesechka [4]
3 years ago
7

Solve the inequality -5/7 - 6/7z < -2/7

Mathematics
1 answer:
viktelen [127]3 years ago
3 0

-\cfrac{5}{7}-\cfrac{6}{7}z~~ < ~~-\cfrac{2}{7}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{-5-6z~~ < ~~-2} \\\\\\ \stackrel{\textit{dividing by a negative value}}{-6z~}~\cfrac{3}{-6}}\implies \boxed{z~>-\cfrac{1}{2}}

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Answer:

The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides

She wrote 5/4+3/4 instead of 5/4-3/4

Step-by-step explanation:

Correct solution:

\frac{3}{4}  + m =   \frac{5}{4}

Subtract-3/4 from both sides

\frac{3}{4}  -  \frac{3}{4}  + m =  \frac{5}{4}  -  \frac{3}{4}

Simplify

m =  \frac{5}{4}  -  \frac{3}{4}  \\ m =  \frac{1}{2}

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3 years ago
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Step-by-step explanation:

8 0
3 years ago
Make 'y' the subject of the equation. x = 2y -7
geniusboy [140]

Answer:

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=> 2y = x +7

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