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

Question

asked Sep 16, 2023 169k views

1 Answer

Marcos Buarque · Answer 1 · 2023-09-20T08:46:37+0000

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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.

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