The solution for z in the given inequality is z < -1.25
Given:
−1.2z − 8.2 > −9.7
> means greater than
−1.2z − 8.2 > −9.7
Add 8.2 to both sides
−1.2z − 8.2 + 8.2 > −9.7 + 8.2
-1.2z > 1.5
divide both sides by - 1.2
z < 1.5 / -1.2
z < -1.25
- Note: when dividing with a negative number in inequality, the sign changes.
- That is the reason > (greater than) changed to < (less than)
Therefore, the value of z in the inequality is z < -1.25
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