please check my problem and make changes as needed. thanks
solve ineqality:
3/7(2p-14) > 6/7p-6 Clear fractions mult. by 7/1
3(2p-14) >6p-6
6p - 42 > 6p - 6
6p - 6p -42> 6p - 6p - 6
0 -42 +42 > -6 +42
0 > 36
To solve the inequality, let's review your steps:
You correctly cleared the fractions by multiplying both sides by 7/1.
This gives us:
(3/7) * (2p - 14) > (6/7)p - 6
Next, you distributed the (3/7) to the terms inside the parentheses:
(3/7) * 2p - (3/7) * 14 > (6/7)p - 6
This simplifies to:
(6p/7) - (42/7) > (6p/7) - 6
Now, you can combine like terms:
6p/7 - 6 > 6p/7 - 6
Since the terms on both sides are the same, we can cancel them out:
0 > 0
This statement is not true. Therefore, the original inequality has no solutions.