paw32diamond
Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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

Sagot :

AL2006
2(3x - 2) > 22

Expand (eliminate parentheses on) the left side:

6x - 4 > 22

Add 4 to each side:

6x > 26

Divide each side by 6 :

x > 13/3
[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]
View image Аноним
View image Аноним
View image Аноним
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.