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How do I solve this equation?

How do I solve this equation?-example-1
User Davlet D
by
7.4k points

1 Answer

4 votes

Answer:


x>(83)/(15)

Explanation:

STEP 1: Simplify
(x-5)/(2) +(2)/(5)>(2)/(3)


(5x-21)/(10)>(2)/(3)

STEP 2: Multiply both sides of the equation by
10.


(5x-21)/(10)>(2)/(3)*(10)

STEP 3: Remove parentheses.


(5x-21)/(10)>(2)/(3)*(10)

STEP 4: Multiply
(2)/(3)*(10)


(5x-21)/(10)>(20)/(3)

STEP 5: Move all terms not containing
x to the right side of the inequality.


5x>(83)/(3)

STEP 6: Divide each term by
5 and simplify.


x>(83)/(15)

STEP 7: The result can be shown in multiple forms.

Inequality Form:


x>(83)/(15)

Interval Notation:


((83)/(15),∞
)

User Vivek Vashistha
by
8.3k points

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