Question

Solve the inequality. Express your answer using set -3(3x-1)>-15

Answer 1

Answer and Step-by-step explanation:

To solve the inequality -3(3x-1)>-15, we’ll first distribute the -3 on the left side of the inequality:

-9x + 3 > -15

Next, we’ll subtract 3 from both sides to isolate the x term:

-9x > -18

Finally, we’ll divide both sides by -9 to solve for x. Since we’re dividing by a negative number, we need to flip the inequality sign:

x < 2

So, the solution to the inequality -3(3x-1)>-15 is x < 2. In set notation, this can be written as x .

Answer 2

Hi there!

The question is asking us to solve the inequality.

For now, I'll focus only on the left side, because there's some simplification that I can do.

I start by using the distributive property:

`\boxed{\begin{gathered}~~\small\text{Distributive Property~~~}\\\\\sf{a(b+c)=ab+ac}\end{gathered}}`

Simplify:

-3(3x - 1) > -15

-9x + 3 > -15

-9x > -15 - 3

-9x > -18

Reverse the inequality sign, because we're dividing by a negative number:

9x < 18

x < 2

Therefore, the solution is x < 2.

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