Solve f(x)=2x+1<0,4]

$$f ( x ) = 2 x + 1 < 0,4 ]$$

Solve for x

$$x<-\frac{3}{10}$$

Solution Steps

Subtract 1 from both sides.

$$2x<0.4-1$$

Subtract 1 from 0.4 to get -0.6.

$$2x<-0.6$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$x<\frac{-0.6}{2}$$

Expand \frac{-0.6}{2} by multiplying both numerator and the denominator by 10.

$$x<\frac{-6}{20}$$

Reduce the fraction \frac{-6}{20} to lowest terms by extracting and canceling out 2.

$$x<-\frac{3}{10}$$