Solve the inequality. Express you answer in interval notation. -3(x + 2) > 15 or x-3< -1

Wiktoria Prusik asked Dec 19, 2023

120,331 views

15 votes

Wiktoria Prusik asked Dec 19, 2023

2.5k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

22 votes

SOLUTION

We are told to solve the inequality

$-3\mleft(x+2\mright)>15\text{ or }x-3<-1$

This becomes

$\begin{gathered} -3(x+2)>15\text{ or }x-3<-1 \\ -3x-6>15\text{ or }x<2 \\ -3x>11\text{ or }x<2 \\ x<-(11)/(3)\text{ or }x<2 \end{gathered}$

In interval notation, this becomes

$(-\infty,-(11)/(3))\cup(-\infty,2)$

3.2k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers