Question

Drag the tiles to the correct boxes to complete the pairs Match each inequality to the number line that represents its solution

Answer 1

x ≤ 7 =>
`- (13x)/(18)` +
`(5)/(9) \geq - (9)/(2)`

x ≤ 8 => -
`(x)/(10)` +
`(1)/(5)` ≥ -
`(33)/(55)`

x ≤ -5 => -
`(50x)/(3)` -
`(11)/(6)`
`\geq`
`(163)/(2)`

x ≤ -6 =>
`(3x)/(2)` + 105 ≤ 96

Explanation:

-
`(x)/(10)` +
`(1)/(5)` ≥ -
`(33)/(55)`

`(1)/(5)` +
`(33)/(55)` ≥
`(x)/(10)` / *10

2 + 6 ≥ x

8 ≥ x

-
`(50x)/(3)` -
`(11)/(6)`
`\geq`
`(163)/(2)` / *6

- 100x - 11 ≥ 489

-500 ≥ 100x

-5 ≥ x

`(3x)/(2)` + 105 ≤ 96

`(3x)/(2)` ≤ 96 - 105 / *
`(2)/(3)`

x ≤ -6

`- (13x)/(18)` +
`(5)/(9) \geq - (9)/(2)` /*18

-13x + 10 ≥ - 81

-13x ≥ -91 /:-13

x ≥ 7