Question

What is the simplified form of the following expression?
3(p-3)-5p>-3p-6

Answer 1

To simplify the expression 3(p-3)-5p>-3p-6, distribute the 3, combine like terms, isolate the variable, and solve for p. The simplified form is p > 3.

Step-by-step explanation:

To simplify the expression 3(p-3)-5p>-3p-6, we can start by distributing the 3 to the terms inside the parentheses:

3p - 9 - 5p > -3p - 6

Next, we can combine like terms:

-2p - 9 > -3p - 6

Now, let's isolate the variable by adding 3p to both sides:

-2p + 3p - 9 > -3p + 3p - 6

p - 9 > -6

Finally, we can isolate p by adding 9 to both sides:

p - 9 + 9 > -6 + 9

p > 3

The simplified form of the expression is p > 3.