Question

solve the following inequality and graph the solu
5(x - 3) < 2(3x - 1)

oc. x ≥

od. x ≤

choose the correct graph

help me solve this view an examp

Explanation:

Step1: Expand both sides

$5(x - 3)=5x-15$ and $2(3x - 1)=6x - 2$. So the inequality becomes $5x-15<6x - 2$.

Step2: Move terms with x to one - side

Subtract $5x$ from both sides: $5x-15-5x<6x - 2-5x$, which simplifies to $-15 < x - 2$.

Step3: Isolate x

Add 2 to both sides: $-15 + 2-13$.

Answer:

The solution of the inequality is $x > - 13$. The graph of the solution is a number - line with an open circle at $-13$ and a ray extending to the right.