Solve the following inequlaities ,Write the solution in the from of intervals (i) `3x ge 18`
(ii) `2x + 17 lt 3`
`(iii) 7- 4x gt -17 `
(iv)` x/7+3 le -2`

Explanation

(i) `3x ge 18 `
`rArr x ge 6 `
`rArr x in [ 6 , oo)` (dividing both sides by 3 )
(ii) `2x + 17 lt 3`
`rArr 2x gt 3 - 17 `
` rArr 2x lt -14`
`rArr x lt -7` (subtracting 17 from both sides by )
`rArr x in ( -oo , -7)` (dividing both sides by 2)
(iii) `7-4x gt -17 `
`rArr -4 x gt - 17 -7 `
`rArr -4x lt -24 `
`rArr x lt -6`
` x in (- oo , -6)`
(iv) `x/4+3 le -2 `
`rArr x/4 le - 5 `
`rArr x le -20 `
`rArr x in (- oo, -20 ]` (subtracting 3 from both sides ) ( multiplying both sides by 4 )