Write an equation or inequality and solve:32 is at most the quotient of a number g and 8

Question

asked Nov 19, 2023 85.3k views

1 Answer

Nan · Answer 1 · 2023-11-25T15:24:08+0000

The quotient of a number g and 8 can be written as:

Since it is given that 32 is at most( this quotient, then it follows that:

$32\le(g)/(8)$

Next, solve the resulting inequality:

$\begin{gathered} 32\le(g)/(8) \\ \text{Swap the sides of the inequality and change the sign:} \\ (g)/(8)\ge32 \end{gathered}$

Multiply both sides of the inequality by 8. Note that the sign will not change since you are multiplying a positive number:

$\begin{gathered} \Rightarrow8*(g)/(8)\ge8*32 \\ \Rightarrow g\ge256 \end{gathered}$

Hence, the inequality is:

$32\le(g)/(8)$

The solution is:

$g\ge256$