Question

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

Answer 1

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|\}`