Question

Solve 15 - 8x > 3 - 2x and write the solution in interval notation.O Interval notation solution:O No solution

Answer 1

$15-8x>3-2x$

Add 8x to both sides

$\begin{gathered} 15-8x+8x>3-2x+8x \\ 15>3+6x \end{gathered}$

Subtract 3 from both sides

$\begin{gathered} 15-3>3-3+6x \\ 12>6x \end{gathered}$

Divide both sides by 6

$\begin{gathered} \frac{12}{6}>\frac{6x}{6} \\ 2>x \\ x<2 \end{gathered}$

Interval notation solution: x < 2