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.

Given:

The inequalities are:

1. [tex]x-85.2\leq 14.6[/tex]

2. [tex]\dfrac{x}{6}>-23[/tex]

3. [tex]x-43<37[/tex]

4. [tex]8x\leq 128[/tex]

5. [tex]x+4.7>21.6[/tex]

To find:

The inequalities that have 4 as a solution.

Solution:

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

1. The inequality is

[tex]x-85.2\leq 14.6[/tex]

Putting [tex]x=4[/tex], we get

[tex]4-85.2\leq 14.6[/tex]

[tex]-81.2\leq 14.6[/tex]

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

2. The inequality is

[tex]\dfrac{x}{6}>-23[/tex]

Putting [tex]x=4[/tex], we get

[tex]\dfrac{4}{6}>-23[/tex]

[tex]0.67\leq -23[/tex]

This statement is true. So, the inequality [tex]\dfrac{x}{6}>-23[/tex] has 4 as a solution.

3. The inequality is

[tex]x-43<37[/tex]

Putting [tex]x=4[/tex], we get

[tex]4-43<37[/tex]

[tex]-39<37[/tex]

This statement is true. So, the inequality [tex]x-43<37[/tex] has 4 as a solution.

4. The inequality is

[tex]8x\leq 128[/tex]

Putting [tex]x=4[/tex], we get

[tex]8(4)\leq 128[/tex]

[tex]32\leq 128[/tex]

This statement is true. So, the inequality [tex]8x\leq 128[/tex] has 4 as a solution.

5. The inequality is

[tex]x+4.7>21.6[/tex]

Putting [tex]x=4[/tex], we get

[tex]4+4.7>21.6[/tex]

[tex]8.7>21.6[/tex]

This statement is false. So,4 is not a solution of the inequality [tex]x+4.7>21.6[/tex].

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