Question

Solve -4/3x+1/6<7/9

< or >




A. -34/27

B. -17/24

C. -11/24

D. -22/27




EDIT THE ANSWER IS >-11/24 I TOOK THE TEST

Answer 1

`\large\boxed{x>-(11)/(24)}`

Explanation:

`-(4)/(3)x+(1)/(6)<(7)/(9)\qquad\text{multiply by common denominator}\to18\\\\18\!\!\!\!\!\diagup^6\left(-(4)/(3\!\!\!\!\diagup_1)x\right)+18\!\!\!\!\!\diagup^3\left((1)/(6\!\!\!\!\diagup_1)\right)<18\!\!\!\!\!\diagup^2\left((7)/(9\!\!\!\!\diagup_1)\right)\\\\(6)(-4x)+(3)(1)<(2)(7)\\\\-24x+3<14\qquad\text{subtract 3 from both sides}\\\\-24x<11\qquad\text{change the signs}\\\\24x>-11\qquad\text{divide both sides by 24}\\\\x>-(11)/(24)`