Question

Solve 2(x-3)>-3(-3+x)

(Picture added, multiple choice)

Answer 1

Answer: D

Explanation:

`2(x - 3) \geqslant - 3( - 3 + x)`

open the brackets [ distributive property ]

`2x - 6 \geqslant 9 - 3x`

collect like terms:

`2x + 3x \geqslant 9 + 6 \\ 5x \geqslant 15`

divide either sides by 5:

`(5x)/(5) \geqslant (15)/(5) \\ \\ { \underline{ \bf{ \: \: x \geqslant 3 \: \: }}}`