The constants a, c, and d are positive. Solve the inequality for x.
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Answer: B
Firstly, subtract d on both sides of the inequality
Next, divide both sides by -c, (remember to flip the sign because you are dividing by a negative)
Step-by-step explanation:
Once we get this, we can convert the - (a - d/c) to d - a/c.
Thus getting B. your welcome
The correct option will be Option B: x<(d-a)/c
Inequality is the relation between two mathematical expressions showing relationships like greater than, greater than equal to, lower than, lower than equal to, etc between two algebraic expressions.
for example x<a, x>b+d
Here given that
d-cx>a
first, move the constant term to one side by adding or subtracting the constant term on both sides
now subtract d from both sides
⇒d-cx-d > a-d
⇒-cx>a-d
now move the coefficient of the variable to the opposite side to make the coefficient of the variable 1 by dividing the coefficient on both sides.
now divide -c on both sides in order to make the coefficient is 1.
by dividing the negative number on both sides inverse the relation between the two expressions.
here > will be converted to <
⇒(-cx)/(-c)<(a-d)/(-c)
⇒x<(d-a)/c
Therefore The correct option will be Option B: x<(d-a)/c
Learn more about inequality
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