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What is the solution to
-6x-7y < 200 when
y=13 ?
a)
x > -48.5
b)
x > 48.5
c)
x < -48.5
d)
x < 48.5

What is the solution to $-6 x-7 y<200$ when $y=13$ ? $\newline$ a) $x>-48.5$ $\newline$ b) $x>48.5$ $\newline$ c) $x<-48.5$ $\newline$ d) $x<48.5$

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Full solution

Q. What is the solution to

-6 x-7 y<200

when

y=13

?

\newline

a)

x>-48.5

\newline

b)

x>48.5

\newline

c)

x<-48.5

\newline

d)

x<48.5

Substitute $y=13$ : Substitute $y=13$ into the inequality $-6x-7y < 200$ . $\newline$ Calculation: $-6x - 7(13) < 200$
Simplify the inequality: Simplify the inequality. $\newline$ Calculation: $-6x - 91 < 200$
Add $91$ to both sides: Add $91$ to both sides of the inequality. $\newline$ Calculation: $-6x < 200 + 91$
Continue simplifying: Continue simplifying. $\newline$ Calculation: $-6x < 291$
Divide by $-6$ : Divide both sides by $-6$ , remembering to flip the inequality sign because we're dividing by a negative number. $\newline$ Calculation: $x > -48.5$

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