Question

Which inequalities have 4 as a solution? 1. X-85.2 <_ 14.6 4. 8x <_ 128 2. X/6> -23 5. X+4.7>21.6 3. X-43<37 Put the numbers together to form the code.

Answer 1

Given:

The inequalities are:

1.
`x-85.2\leq 14.6`

2.
`(x)/(6)>-23`

3.
`x-43<37`

4.
`8x\leq 128`

5.
`x+4.7>21.6`

To find:

The inequalities that have 4 as a solution.

Solution:

We need to put
`x=4` in each inequality, to check whether it is a solution or not.

1. The inequality is

`x-85.2\leq 14.6`

Putting
`x=4`, we get

`4-85.2\leq 14.6`

`-81.2\leq 14.6`

This statement is true. So, the inequality
`x-85.2\leq 14.6` has 4 as a solution.

2. The inequality is

`(x)/(6)>-23`

Putting
`x=4`, we get

`(4)/(6)>-23`

`0.67\leq -23`

This statement is true. So, the inequality
`(x)/(6)>-23` has 4 as a solution.

3. The inequality is

`x-43<37`

Putting
`x=4`, we get

`4-43<37`

`-39<37`

This statement is true. So, the inequality
`x-43<37` has 4 as a solution.

4. The inequality is

`8x\leq 128`

Putting
`x=4`, we get

`8(4)\leq 128`

`32\leq 128`

This statement is true. So, the inequality
`8x\leq 128` has 4 as a solution.

5. The inequality is

`x+4.7>21.6`

Putting
`x=4`, we get

`4+4.7>21.6`

`8.7>21.6`

This statement is false. So,4 is not a solution of the inequality
`x+4.7>21.6`.