Question

5-4x>21 or 7x-2>19...confused. show work interval and set builder notations

Answer 1

\[5-4x>21\]
\[5-21>4x\]
\[-16>4x\]
\[-4>x\]

Answer 2

or
\[7x-2>19\]
\[7x>21\]
\[x>3\]

Answer 3

so either x < -4 or x > 3 these are two intervals. in interval notation write
\[(-\infty, -4)\cup (3,\infty)\]

Answer 4

5-4x>21 subtract 5 fron both
-4x>16 divide by -4 on both sides and reverse the inequality
x<-4

setbuilder notation
{x:x elelment of reals, x <-4}