Question

Write the inequality for x that is shown on this line. Can you answer these 3 questions:

Answer 1

Answer:

1. Less than 3

2. 3, 4, 5 and 6

3. x > 6

Step-by-step explanation:

3. 3x + 7 > x + 19

Treat the > like = when solving.

-x

2x + 7 > 19

-7

2x > 12

x > 6

Answer 2

Answer: a) x < 3

              b) 3, 4, 5, 6

              c) x > 6

Step-by-step explanation:

First you need to understand the symbols:

< means less than   (represented by an open dot, left arrow)

≤ means less than or equal to (represented by a closed dot, left arrow)

> means greater than   (represented by an open dot, right arrow)

≥ means greater than or equal to (represented by a closed dot, right arrow)

a) We have a closed dot and a left arrow so we need to use <

    We write this inequality as: x < 3

b) y is BETWEEN 2 and 6 (not including 2 but including 6)

       2    3      4    5    6

c) 3x + 7 > x + 19

   2x + 7 >       19           subtracted x from both sides

   2x       >       12           subtracted 7 from both sides

           x > 6                   divided both sides by 2