Question

Substitute each given value of the variable to find which, if any, is a solution of inequality.

Answer 1

Given:

The inequalities are:

a) $w$

b) $t>-25, t=-24, -25, -25.1, -27$

To find:

The solution of inequalities by substituting the given values.

Solution:

a) We have,

$w$

After substituting the given values one by one, we get

$-4.3$ False statement.

$-5.3$ False statement.

$-8.3$ True statement.

$-9$ True statement.

Therefore the solutions of $w$ are $w=-8.3, -9$.

b)

We have,

$t>-25, t=-24, -25, -25.1, -27$

After substituting the given values one by one, we get

$-24>-25$ True statement.

$-25>-25$ False statement.

$-25.1>-25$ False statement.

$-27>-25$ False statement.

Therefore, the solution of $t>-25$ is $t=-24$.