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Answer :
The solution is [tex]z < -4[/tex]. This means [tex]z[/tex] can be any number less than [tex]-4[/tex].
To solve the inequality [tex]\frac{z}{-1} + 909 > 913[/tex], we need to find the value of [tex]z[/tex].
Start with the given inequality:
[tex]\frac{z}{-1} + 909 > 913[/tex]
First, subtract 909 from both sides to isolate the fraction:
[tex]\frac{z}{-1} > 913 - 909[/tex]
Simplify the right side of the inequality:
[tex]\frac{z}{-1} > 4[/tex]
Multiply both sides by [tex]-1[/tex] to solve for [tex]z[/tex]. Remember that multiplying or dividing an inequality by a negative number reverses the inequality sign:
[tex]z < -4[/tex]
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