# Solve for x -(75x)/4>225/2

-75×4>2252
Multiply each term in -75×4>2252 by -1
Multiply each term in -75×4>2252 by -1. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
-75×4⋅-1<2252⋅-1
Multiply -75×4⋅-1.
Multiply -1 by -1.
175×4<2252⋅-1
Multiply 75×4 by 1.
75×4<2252⋅-1
75×4<2252⋅-1
Simplify 2252⋅-1.
Multiply 2252⋅-1.
Combine 2252 and -1.
75×4<225⋅-12
Multiply 225 by -1.
75×4<-2252
75×4<-2252
Move the negative in front of the fraction.
75×4<-2252
75×4<-2252
75×4<-2252
Multiply both sides of the equation by 4.
75x<-2252⋅4
Simplify -2252⋅4.
Cancel the common factor of 2.
Move the leading negative in -2252 into the numerator.
75x<-2252⋅4
Factor 2 out of 4.
75x<-2252⋅(2(2))
Cancel the common factor.
75x<-2252⋅(2⋅2)
Rewrite the expression.
75x<-225⋅2
75x<-225⋅2
Multiply -225 by 2.
75x<-450
75x<-450
Divide each term by 75 and simplify.
Divide each term in 75x<-450 by 75.
75×75<-45075
Cancel the common factor of 75.
Cancel the common factor.
75×75<-45075
Divide x by 1.
x<-45075
x<-45075
Divide -450 by 75.
x<-6
x<-6
The result can be shown in multiple forms.
Inequality Form:
x<-6
Interval Notation:
(-∞,-6)
Solve for x -(75x)/4>225/2