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

Answer:

-5 < a < 3.4

Step-by-step explanation:

3 - 2a < 13

3 - 13 < 2a

2a > -10

a > -5

5a < 17

a < 3.4

Solution:

-5 < a < 3.4

Answer 2

Step-by-step 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:  $-5 < a < 3.4$