Question

Solve the system of inequalities and indicate all the integers which are in the solution set:


`\left \{ {{3-2a\ \textless \ 13} \atop {5a\ \textless \ 17}} \right.`

Answer 1

-5 < a < 3.4

Explanation:

3 - 2a < 13

3 - 13 < 2a

2a > -10

a > -5

5a < 17

a < 3.4

Solution:

-5 < a < 3.4

Answer 2

Explanation:

Step 1: Find the solution to the first equation

`3 - 2a < 13`

`3 - 3 - 2a < 13 - 3`

`-2a < 10`

`-2a / -2 < 10 / -2`

`a > -5`

Step 2: Find the solution to the second equation

`5a < 17`

`5a / 5 < 17 / 5`

`a < 3.4`

Answer:
`-5 < a < 3.4`