Q:

PLEASE HELP WITH MATH!!!!!!! 60 points and brainiest!!!!!1. Solve the inequality 3(x + 2) > 0.x < -2x > -2x < 2x > 2 (not the answer)2. Solve the inequality 8(x + 1) > 7(x + 2).x < -22x > -22 (not the answer)x < 6x > 63. Solve the inequality 9(x - 3) < 4(x + 10).x < 13/5 (not the answer)x > 13/5x < 67/5x > 67/54. Solve the inequality 3(x + 1) + 2(x + 2) > 0.x < -7/5 x > -7/5x < 7/5 (not the answer)x > 7/55. Solve the inequality -9x/11- 7 < -5.x < -22/9x > -22/9x < 22/9 (not the answer)x > 22/96. Solve the inequality 3x - 5 < 4.x < 1/3x > 1/3x < 3x > 3 (not the answer)

Accepted Solution

A:
1. x>-2 distribute the three and get 3x+6>0 subtract the 6 to get 3x>-6 then divide by 2 to get -2.
2.x>6 distribute 8 to get 8x+8 and distribute 7 to get 7x+14. Subtract over the 8 to get 8x>7x+6 then subtract over 7x to get x>6
3.distribute the 9 and the 4 to get 9x-27<4x+40 add over the 27 and get 9x<4x+67 subtract over the 4x to get 5x<67 divide by 5 and get x<67/5
4. distribute the 3 and the 2 to get 3x+3 + 2x+4>0  add together the like terms 3x+2x=5x and 3+4=7 to get 5x+7>0 subtract over the seven to get 5x>-7 and then divide by 5 to get x>-7/5                                                                                 5. first add over -7 to get -9x/11<2. after that multiply by 11 to get -9x<22 then divide by -9 (MAKE SURE YOU FLIP THE INEQUALITY SIGN WHEN MULTIPLYING OR DIVIDING BY A NEGATIVE LIKE -9 IN THIS CASE) you get x>-22/9                                                                                                                   6. Add over the 5 to get 3x<9 divide by 3 and get x<3