Question

The solution to an inequality is (–∞, 6.5]. Is 6.5 a solution to the inequality? Explain your answer. The solution includes numbers from negative infinity to 6.5. Because a bracket is used, the solution does not include 6.5. The solution includes numbers from 6.5 to infinity. Because a parenthesis is used, the solution does not include 6.5. The solution is the point (–∞, 6.5). Because a bracket is used, 6.5 is a solution to the inequality. The solution includes numbers from negative infinity to 6.5. Because a bracket is used, the solution includes 6.5.

Answer 1

D

Explanation:

The solution includes numbers from negative infinity to 6.5. Because a bracket is used, the solution includes 6.5.

Answer 2

Because a bracket is used, the solution includes
`6.5`

The solution includes numbers from negative infinity to
`6.5`

Explanation:

we know that

If the solution for an inequality is (–∞, 6.5]

then

`x\leq 6.5`

The solution is all real numbers less than or equal to
`6.5`

so

Because a bracket is used, the solution includes
`6.5`

The solution includes numbers from negative infinity to
`6.5`