-75×4>2252

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

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 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