Question

Solve the system of inequalities and indicate all the integers which are in the solution set: The answer isn't an inequality like -5

Answer 1

`\\ \rm\rightarrowtail 3-2a<13`

`\\ \rm\rightarrowtail -2a<10`

`\\ \rm\rightarrowtail -a<5`

`\\ \rm\rightarrowtail a>-5`

And

`\\ \rm\rightarrowtail 5a<17`

`\\ \rm\rightarrowtail a<17/5`

`\\ \rm\rightarrowtail a<3(2)/(5)`

So

solution set

`\\ \rm\rightarrowtail a\in\left(-5,3(2)/(5)\right)`

So

• a={-4,-3,-2,-1,0,1,2,3}

Answer 2

• {- 4, - 3, -2, -1, 0, 1, 2, 3}

Explanation:

Solve each inequality in the system:

• 3 - 2a < 13 ⇒ 2a > 3 - 13 ⇒ 2a > - 10 ⇒ a > - 5
• 5a < 17 ⇒ a < 17/5 ⇒ a < 3.4

The solution is:

• - 5 < a < 3.4

The integer solution set is:

• {- 4, - 3, -2, -1, 0, 1, 2, 3}