Solve the inequality
2(3x-2)>_22

See Answers (2)

Accepted Answer

2(3x - 2) > 22Expand (eliminate parentheses on) the left side:6x - 4 > 22Add 4 to each side:6x > 26Divide each side by 6 :x > 13/3

Accepted Answer

[tex]2(3x-2) \geq22\ \ \ \ /:2\\\\3x-2\geq11\ \ \ /+2\\\\3x\geq13\ \ \ \ /:3\\\\x\geq4\frac{1}{3}\\\\x\in\left<4\frac{1}{3};\ \infty\left)[/tex]=================================================================[tex]2(3x-2) > 22\ \ \ \ /:2\\\\3x-2 > 11\ \ \ /+2\\\\3x > 13\ \ \ \ /:3\\\\x > 4\frac{1}{3}\\\\x\in\left(4\frac{1}{3};\ \infty\left)[/tex]=================================================================[tex]2(3x-2) > -22\ \ \ \ /:2\\\\3x-2 > -11\ \ \ \ /+2\\\\3x > -9\ \ \ \ /:3\\\\x > -3\\\\x\in(-3;\ \infty)[/tex]