Question

Solve the inequality.

Answer 1

Let's solve your inequality step-by-step.

`(x)/(3)-((x-1)/(2))\geq1`

Step 1: Simplify both sides of the inequality.

`(-1)/(6)x+(1)/(2)\geq1`

Step 2: Subtract 1/2 from both sides.

`(-1)/(6)x+(1)/(2)-(1)/(2)\geq1-(1)/(2)`

`(-1)/(6)x\geq(1)/(2)`

Step 3: Multiply both sides by 6/(-1).

`((6)/(-1))*((-1)/(6)x)\geq((6)/(-1))*((1)/(2))`

`x\leq-3`

Answer:

`x\leq-3` This is the answer

I hope this help you :)

Answer 2

`x \leqslant - 3`

option C is the right option.

Solution,

`(x)/(3) - (x - 1)/(2) \geqslant 1 \\ = (2x - 3( x - 1))/(6) \geqslant 1 \\ = (2x - 3x + 3)/(6) * 6 \geqslant 6 \\ = 2x - 3x + 3 \geqslant 6 \\ = - x + 3 \geqslant 6 \\ = - x + 3 - 3 \geqslant 6 - 3 \\ = - x \geqslant 3 \\ = - ( - x) \leqslant - 3 \\ = x \leqslant - 3`

hope this helps...

Good luck on your assignment