Solve {l}{4^2-(4)(2m)}{-3<0}

$$\left. \begin{array} { l } { 4 ^ { 2 } - ( 4 ) ( 2 m ) } \\ { - 3 < 0 } \end{array} \right.$$

Solve for m

$$m>\frac{13}{8}$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$16-4\times 2m-3<0$$

Multiply 4 and 2 to get 8.

$$16-8m-3<0$$

Subtract 3 from 16 to get 13.

$$13-8m<0$$

Subtract 13 from both sides. Anything subtracted from zero gives its negation.

$$-8m<-13$$

Divide both sides by -8. Since -8 is negative, the inequality direction is changed.

$$m>\frac{-13}{-8}$$

Fraction \frac{-13}{-8} can be simplified to \frac{13}{8} by removing the negative sign from both the numerator and the denominator.

$$m>\frac{13}{8}$$