What is the solution to the inequality 3m-6\leq-8(2m-4)

Question

What is the solution to the inequality 3m-6
`\leq`-8(2m-4)

Answer 1

Answer:
`m\leq2`

Explanation:

To solve this problem you must apply the proccedure shown below:

- Apply distributive property:

`3m-6\leq-16m+32`

- Add like terms:

`3m+16m\leq32+6\\19m\leq38`

- Now you must divide both sides by 19, then you obtain the following solution:

`m\leq2`

Answer 2

m≤2

Explanation:

Rewrite equation as

3m-6=-16m+32

solve for m

3m+16m=32+6

19m=38

m=38/19 =2

if m=2 the solution will be 0

if m≤2 the solution satisfies the equation