Question

Solve the inequality 4x + 15 > 2x + 19 for the x.

Answer 1

\[\large 4x + 15 > 2x + 19\]subtract \(2x\) from both sides:\[4x~{\color{red}{-2x}} + 15 > 2x~{\color{red}{-2x}} + 19\]\[~~~~2x~~+~~15>~~~~0~~~+~~19\]subtract \(15\) from both sides:\[2x+15>19\]\[2x+15~{\color{red}{-15}}>19~{\color{red}{-15}}\]\[2x~~+~~~0~~~~>~~~~~4\]divide both sides by \(2\):\[~2x>4\]\[{2x\over{\color{red}{2}}}>{4\over{\color{red}{2}}}\] \[~~\large\color{blue}{x>2}\]

Answer 2

hope that helps! @vivianmilner :)

Answer 3

yes. thanks so much. I am sure I will need a lot more help in the future.