Can someone help me with Algebra 2 ?

Question

|2m - 10| - 5 > - 1

How do i solve this? Step by Step please!

Answer 1

  

Step 1:

The absolute inequality is .

Solve inequality.

Add to each side.

Apply additive inverse property: .

Then or .

Rewrite the inequality or .

Step 2:

First inequality.

Add to each side.

Divide each side by and simplify.

Step 3:

Second inequality.

Add to each side.

Divide each side by and simplify.

Solution :

The absolute inequality solution set is .

Answer 2

Step 1:

The absolute inequality is .

Solve inequality.

Add to each side.

Apply additive inverse property: .

Then or .

Rewrite the inequality or .

Step 2:

First inequality.

Add to each side.

Divide each side by and simplify.

Step 3:

Second inequality.

Add to each side.

Divide each side by and simplify.

Solution :

The absolute inequality solution set is .