Problem 1 Using More Than One Step

What are the solutions of 9 + 4 t > 21 ? 9 plus 4 t greater than 21 question mark  Check the solutions.

9 + 4 t > 21   9 + 4 t − 9 > 21 − 9  Subtract  9  from each side  . 4 t > 12 Simplify. 4 t 4 > 12 4 Divide each side by  4 . t > 3 Simplify. table with 5 rows and 3 columns , row1 column 1 , 9 plus 4 t , column 2 greater than 21 , column 3 , row2 column 1 , 9 plus 4 t minus 9 , column 2 greater than 21 minus 9 , column 3 cap subtract . 9 . fromeachside . . , row3 column 1 , 4 t , column 2 greater than 12 , column 3 cap simplify. , row4 column 1 , fraction 4 t , over 4 end fraction , column 2 greater than , 12 over 4 , column 3 cap divideeachsideby . 4 . , row5 column 1 , t , column 2 greater than 3 , column 3 cap simplify. , end table

Check

9 + 4 ( 3 ) = ? 21 Check the endpoint of  t > 3  by substituting  3  for  t  in the related equation  . 21 = 21 ✓ Simplify. 9 + 4 ( 4 ) > ? 21 Check the inequality symbol of  t > 3  by substituting  4  for  t  in the original inequality  . 25 > 21 ✓ Simplify. table with 4 rows and 3 columns , row1 column 1 , 9 plus 4 open 3 close , column 2 modified equals with question mark above , 21 , column 3 cap checktheendpointof . t greater than 3 . bysubstituting . 3 , for , t . intherelatedequation . . , row2 column 1 , 21 , column 2 equals 21 check mark , column 3 cap simplify. , row3 column 1 , 9 plus 4 open 4 close , column 2 modified greater than with question mark above , 21 , column 3 cap checktheinequalitysymbolof . t greater than 3 . bysubstituting . 4 , for , t . intheoriginalinequality . . , row4 column 1 , 25 , column 2 greater than 21 check mark , column 3 cap simplify. , end table