Answer :

Answer:

The number is [tex]x\geq 72[/tex]

Step-by-step explanation:

Given:

Quotient [tex]\geq[/tex] 15

Let the number be [tex]x[/tex]

The quotient is 15 of a number and 6 which is increaase by 3

Hence forming the inequality expression from the question given we get;

[tex]\frac{x}{6}+3\geq 15[/tex]

Now Solving the above equation we get,

[tex]\frac{x}{6}+3\geq 15\\\\\frac{x}{6}\geq 15-3\\\\\frac{x}{6}\geq 12\\\\x\geq 12\times6\\x\geq 72[/tex]

Hence the number is [tex]x\geq 72[/tex]

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