Question

Solve the inequality.

–6b > 42 or 4b > –4

Answer 1

\(\Large \color{MidnightBlue}{\Rightarrow -6b > 42 \Longrightarrow -b > 42 \Longrightarrow b < -42 }\)

Answer 2

divide both sides in the first by '6'.
then change sign and reverse inequality.

similarly divide by 4 in second, and then do the same.

Now the applicable values of 'b' will be the intersection of values obtained from those two equations.

Answer 3

Whenever we divide by a negative, the signs of an inequality change.