Solve 59+(m-1)(-4)<0

$$59 + ( m - 1 ) ( - 4 ) < 0$$

Solve for m

$$m>\frac{63}{4}$$

Solution Steps

Use the distributive property to multiply m-1 by -4.

$$59-4m+4<0$$

Add 59 and 4 to get 63.

$$63-4m<0$$

Subtract 63 from both sides. Anything subtracted from zero gives its negation.

$$-4m<-63$$

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$m>\frac{-63}{-4}$$

Fraction \frac{-63}{-4} can be simplified to \frac{63}{4} by removing the negative sign from both the numerator and the denominator.

$$m>\frac{63}{4}$$