1.

`(1)/(2) ((3x)/(5) + 4 )ge (1)/(3) (x - 6)`A. `[120, oo]`B. `(-oo, 120]`C. `[0, 120]`D. `[-120, 0]`

Answer» Correct Answer - B
We have,
`(1)/(2) ((3x)/(5) + 4) ge (1)/(3)(x-6)`
`rArr (1)/(2) ((3x+20)/(5) ) ge (1)/(3)(x-6)`
`rArr (3x + 20)/(10) ge (x-6)/(3)`
`rArr 3(3x + 20) ge 10 (x-6) " " ["Multiplying both sides by 30 i.e the LCM of 10 and 3"]`
`rArr 9x+60 ge 10x-60`
`rArr 9x-10x ge -60-60`
`rArr -x ge -120 `
`rArr x le 120`
`rArr x in (-oo, 120]`
Hence, the solution set of the given inequation is `(-oo, 120]`, REMARK The solution set of simultaneous inequations is the intersection of their solution sets.


Discussion

No Comment Found