Question

Solve 27-6(x-10)>-3x+26
Write your solution using set builder notation.

Answer 1

\[x<\frac{61}{3} \]

Answer 2

Start by subtracting 27 from both sides..
\[\implies -6(x-10) \gt -3x -1\]Distribute the -6\[\implies -6x + 60 \gt -3x - 1\]Add 6x to both sides\[\implies 60 \gt 3x -1\]Add 1 to both sides\[\implies 61 \gt 3x\]Divide by 3\[\implies x \lt \frac{61}{3}\]
From here we just need to do set builder notation..

Answer 3

Typically for set builder you can just put the inequality you find inside the notation:

\[\{x| x \lt \frac{61}{3}\}\]

Answer 4

ok i see thank you very much, now only 10 more to go! lol