Question

trevor solves the inequality 2.5x - 10 < 20. He must remove the cards below that are no part of the solution set Which cards should he remove

Answer 1

The inequality
`\(2.5x - 10 < 20\)` simplifies to
`\(x < 12\)`. Cards representing values
`\(12\)`,
`\(15\),` and
`\(18\)` should be removed as they are not part of the solution
`\(x < 12\)`.

Given inequality:
`\(2.5x - 10 < 20\)`

To solve for
`\(x\)` :

`\(2.5x - 10 < 20\)`

Add
`\(10\)` to both sides:

`\(2.5x < 20 + 10\)`

`\(2.5x < 30\)`

Now, divide both sides by
`\(2.5\)`:

`\(x < (30)/(2.5)\)`

`\(x < 12\)`

The solution to the inequality is
`\(x < 12\)`. Now, let's identify which values represented by the cards should be removed that are not part of the solution set.

Cards representing values greater than or equal to
`\(12\)` should be removed because the solution set includes values less than
`\(12\) (\(x < 12\)).`

Therefore, the cards representing the values
`\(12\)`,
`\(15\)`, and
`\(18\)` should be removed as they are not part of the solution set for the inequality
`\(2.5x - 10 < 20\).`

complete the question

Solve the inequality
`\(2.5x - 10 < 20\)` and identify the solution set for
`\(x\)` . After solving, which values represented by the cards should be removed that are not part of the solution set?