Question

is $g = -1$ a solution to the inequality below?
$\frac{142}{g} - 3 > -77$
yes
no

Explanation:

Step1: Substitute \( g = -1 \) into the left - hand side of the inequality

We have the inequality \(\frac{142}{g}-3>-77\). When \(g = - 1\), we calculate \(\frac{142}{-1}-3\). First, \(\frac{142}{-1}=-142\), then \(-142 - 3=-145\).

Step2: Compare the result with \(-77\)

We need to check if \(-145>-77\). But we know that for negative numbers, the larger the absolute value, the smaller the number. Since \(|-145| = 145\) and \(|-77|=77\), and \(145>77\), so \(-145<-77\).

Answer:

no