Question

find and graph the solution: 22) 2x - 3 < -5 or 3x - 10 > x

Explanation:

Step1: Solve the first inequality

Solve $2x - 3<-5$.
Add 3 to both sides: $2x-3 + 3<-5 + 3$, which simplifies to $2x<-2$.
Divide both sides by 2: $x<-1$.

Step2: Solve the second inequality

Solve $3x - 10>x$.
Subtract $x$ from both sides: $3x - x-10>x - x$, which gives $2x-10>0$.
Add 10 to both sides: $2x-10 + 10>0 + 10$, so $2x>10$.
Divide both sides by 2: $x > 5$.

Answer:

The solution is $x<-1$ or $x>5$. On a number - line, we have an open circle at $x = - 1$ and shade to the left, and an open circle at $x = 5$ and shade to the right.