177k views
4 votes
Solve: -52 -3% -313 - 2)O {z2< -4.51)O {x2 > -4.51)+O {x2 < -4,51}--O {zx > -4.51}

User Heisenbug
by
8.1k points

1 Answer

5 votes

Answer:

the solution is;


\mleft\lbrace x\mright|x<-4.5|\}

Given the inequality;


-5x-3>-3(x-2)

Let's simplify and collect the like terms;


\begin{gathered} -5x-3>-3x-3(-2) \\ -5x-3>-3x+6 \\ -5x+3x>6+3 \\ -2x>9 \\ \text{dividing both sides by -2;} \\ (-2x)/(-2)<(9)/(-2) \\ x<-4.5 \end{gathered}

Note that when you divide an inequality through by a negative number, the inequality sign will change.

Therefore, the solution is;


\mleft\lbrace x\mright|x<-4.5|\}

User Jospeh
by
8.5k points

No related questions found

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

9.4m questions

12.2m answers

Categories