Question

The quotient if b and 3 is greater than or equal to 19

Answer 1

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`\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}`

The quotient of b and 3 is greater than or equal to 19.

`\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}`

✥First, the word "quotient" indicates that we divide.

Here we have "the quotient of b and 3", so we divide b by 3:-

`\hookrightarrow`
`\sf{b/3}`

Now, this expression is greater than or equal to 19:-

`\sf{b/3\geq 19}`

How to Solve for b

✳︎ Multiply by 3 on both sides:-

`\sf{b\geq 19*3}`

On simplification,

`\sf{b\geq 57}`

So the values of b greater than or equal to 57 will make this inequality true.

Let's solve another one.

✳︎ A number y increased by 5 is at least -21.

First, "increased" means we add 5.

Since y is increased by 5, we add 5 to y:-

`y+5`

Now this expression is at least -21, which means it can't be less than -21, thus, it's greater than or equal to -21, which looks as follows:-

`\sf{y+5 \geq -21}`

`\rule{300}{1}`

[Solving for y]

Subtract 5 on both sides:-

`\sf{y \geq -21-5}`

On simplification,

`\sf{y \geq -26}`

So the values of y greater than or equal to -26 will make this inequality true.

Good luck with your studies.

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