Question

question solve the following inequality for m. write your answer in simplest form. 6m - 3(4m + 1) < 10m - 8 - 7m answer attempt 1 out of 2 m < submit answer

Explanation:

Step1: Expand the left - hand side

$6m-3(4m + 1)=6m-12m-3=-6m-3$.
The right - hand side is $10m-8 - 7m = 3m-8$.
So the inequality becomes $-6m-3<3m-8$.

Step2: Move terms with m to one side

Add $6m$ to both sides: $-6m + 6m-3<3m+6m-8$, which simplifies to $-3<9m-8$.

Step3: Move the constant to the other side

Add 8 to both sides: $-3 + 8<9m-8 + 8$, getting $5<9m$.

Step4: Solve for m

Divide both sides by 9: $\frac{5}{9}\frac{5}{9}$.

Answer:

$m>\frac{5}{9}$