First, we need to apply the Distributive Property to the left side of the inequality. This mathematical term means to multiply the number or variable outside of the parenthesis to all numbers and/or variables on the inside of the parenthesis.
Here's an example;
3(2 + 1) Multiply the outside number by all inside numbers. 3(2) + 3(1) Multiply. 6 + 3 Simplify the expression. 9.
Now that we've explained our concept for distributing, let's apply what we now know to our current problem.
3(7x - 6) < -81
Apply the Distributive Property to the left side of the inequality.
3(7x) + 3(-6) Multiply.
21x - 18
We now have:
21x - 18 < -81
Now we need to isolate the variable. To do this, we need to make sure that 'x' is by itself. Since x is being subtracted by 18, we need to apply the opposite order of operations to both sides of the inequality.
Add 18 to both sides to isolate the variable.
21x < -63
We now need to solve for x. To solve for x, we need to divide both sides by 21, as iur variable is being multiplied by 21.
We are now left with:
x < -3
This is your final solution to your inequality.
I hope this answer helps you, and feel free to ask me any questions you have in the comments below this answer! Have a great day, and thank you for asking your question here at Brainly!
