The solution set for -18 x
3 > x

-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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the equivalent expression are always the hardest ones but you look at the gcf also

step-by-step explanation: