2x-2<0 or 4x+1>17

Question

solve the compound inequality and graph solution on a number line numbered -11 to 11

Answer 1

Solve the inequalities separately, the same way you solve an equation.

 

2x - 2 < 0                   or                 4x + 1 > 17

 

2x < 2                         or                4x > 16

 

 x < 1                          or                  x > 4

 

 

Draw a single number line that has the numbers -11 and 11.  On this number line, include the numbers 1 and 4 since they are the reference numbers of the solution.

 

Draw an open circle at 1 and at 4.  Draw an arrow in the direction to -11 from 1.  Draw an arrow in the direction to 11 from 4.