If 9\geq4x+19≥4x+19, is greater than or equal to, 4, x, plus, 1, which inequality represents the possible range of values of 12x+312x+312, x, plus, 3?

Answer :

Answer:

[tex]12x+3\leq 27[/tex]

Step-by-step explanation:

It is given that

[tex]9\geq4x+1[/tex]

We need to find the possible range of values of 12x+3.

Subtract -1 from both sides.

[tex]9-1\geq 4x[/tex]

[tex]8\geq 4x[/tex]

Multiply both sides by 3.

[tex]24\geq 12x[/tex]

Add 3 on both sides.

[tex]24+3\geq 12x+3[/tex]

[tex]27\geq 12x+3[/tex]

It can be rewritten as

[tex]12x+3\leq 27[/tex]

Therefore, 12x+3 must be less than or equal to 27.

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