-18x×3>x
Calculate the product
-54x>x
now we do the same thing only different way ok
-18x×3
Multiply a negative and a positive equals a negative:(-)x(+)=(-)
-(18×3)x
Multiply the numbers
-54x
now we do the same thing only different way ok
-54x>x
Move variable to the left hand side and change its sign
-54x-x>0
the same way only different way ok
-54x>x
Move variable to the left by adding its opposite to both sides
-54x-x>x-x
the sum of two opposites equals 0
-54x-x>0
Collect like terms
-55x>0
the same way only different way ok
-54x-x
If a negative term doesn't have a coefficient, it is considered that the coefficient is -1
-54x-1x
Collect like terms by calculating the sum or difference of their coefficients
(-54-1)x
Calculate the difference
-55x
now we do the same thing only different way ok
-54x-y>0
Collect like terms
-55x>0
Divide both sides of the inequality by -55 and flip the inequality sign
x<0
Now we do the same thing only different way ok
-55x>0
Divide both sides of the inequality by-55 and flip the inequality sign
-55x÷(-55)<0÷(-55)
any expression Divided by itself equals 1
x<0÷(-55)
0 Divided by any non-zero expression equals 0
Answer : x<0
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