The number of integers satisfying `|2x-3|+|x+5| le |x-8|` isA. `5`B. `6`C. `7`D. `8`

The number of integers satisfying `|2x-3|+|x+5| le |x-8|` isA. `5`B. `

1.	The number of integers satisfying `\|2x-3\|+\|x+5\| le \|x-8\|` isA. `5`B. `6`C. `7`D. `8`
Answer» Correct Answer - C `(c )` `\|2x-3\|+\|x+5\| le \|x-8\|` `implies \|2x-3\|+\|x+5\| le \|(2x-3)-(x-5)\|` `implies (2x-3)(x+5) le 0 implies -5 le x le 3//2`

The solution of the inequality `(|x+2|-|x|)/(sqrt(8-x^(3))) ge 0` isA. `[-1,2]`B. `[1,2]`C. `[-1,1]`D. `[0,3sqrt(4))`
The number of solutions of the equation `sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5)` isA. `0`B. `1`C. `2`D. More than `2`
The number of integers satisfying the equation `|x|+|(4-x^(2))/(x)|=|(4)/(x)|` isA. `5`B. `4`C. `6`D. `7`
If `|(12x)/(4x^(2)+9)| le 1`, thenA. `x in R`B. `x in [-3,3]`C. `x in [-1,oo)`D. `x in (-oo,2]`
The solution of `|x+(1)/(x)| gt 2` isA. `R-{0}`B. `R-{-1,0,1}`C. `R-{1}`D. `R-{-1,1}`
The solution of `|2x-3| lt |x+2|` isA. `(-oo,1//3)`B. `(1//3,5)`C. `(5,oo)`D. `(-oo,1//3) uu (5,oo)`
Solve : `(|x-1|-3)(|x+2)-5) lt 0`.
Solve, `(1-sqrt(21-4x-x^(2)))/(x+1) ge 0`.
Solve, `(sqrt(2x-1))/(x-2) lt 1`.
`(sqrt(8+2x-x^2)>6-3x)`