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2. solve the inequality. 2) $-9b - 4 < -13$ a) $b > 1$ b) $b > -34$ c) …

Question

  1. solve the inequality.
  2. $-9b - 4 < -13$

a) $b > 1$ b) $b > -34$
c) $b > -3$ d) $b < -3$
a
c
d
this is a required question

Explanation:

Step1: Add 4 to both sides

To isolate the term with \( b \), we add 4 to both sides of the inequality \(-9b - 4 < -13\). This gives us \(-9b - 4 + 4 < -13 + 4\), which simplifies to \(-9b < -9\).

Step2: Divide by -9 (reverse inequality)

When dividing an inequality by a negative number, we reverse the inequality sign. Dividing both sides of \(-9b < -9\) by \(-9\) gives \( b > \frac{-9}{-9} \), which simplifies to \( b > 1 \).

Answer:

A) \( b > 1 \)