Question

−38d−57≥−19d+76 solve for d

Answer 1

Explanation:

- 38d - 57 ≥ - 19d + 76

- 38d + 38d - 57 - 76 ≥ - 19d + 38d + 76 - 76

-133 ≥ 19d

-133/19 ≥ 19/19d

-7 ≥ d

Answer 2

`d\leq -7`

Explanation:

Move all terms containing
`d` to the left side of the inequality.

Add
`-19d` to both sides of the inequality.

`-38d-57+19d\geq 76`

Add
`-38` and
`19d.`

Move all terms not containing
`d` to the right side of the inequality.

Add
`57` to both sides of the inequality.

`-19d\geq 76+57`

Add
`76` and
`57.`

`-19d\geq 133`

Divide each term by
`-19` and simplify.

Divide each term in
`-19d\geq 133` by
`-19`. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

`(-19d)/(-19) \leq (133)/(-19)`

Cancel the common factor

`\leq (133)/(-19)`

Divide
`133` by
`-19.`

`d\leq -7`

The result can be shown in multiple forms.

Inequality Form:

`d\leq -7`

Interval Notation:

`(- { \infty} ,-7]`