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Solve this inequality: [tex]3b - 7 \ \textless \ 32[/tex]
A. [tex]b \ \textless \ 5[/tex] B. [tex]b \ \textless \ 39[/tex] C. [tex]b \ \textless \ 13[/tex] D. [tex]b \ \textless \ 8.33[/tex]
To solve the inequality [tex]\( 3b - 7 < 32 \)[/tex], follow these steps:
1. Start with the given inequality: [tex]\[
3b - 7 < 32
\][/tex]
2. Add 7 to both sides of the inequality to isolate the term involving [tex]\( b \)[/tex]: [tex]\[
3b - 7 + 7 < 32 + 7
\][/tex] This simplifies to: [tex]\[
3b < 39
\][/tex]
3. Next, divide both sides of the inequality by 3 to solve for [tex]\( b \)[/tex]: [tex]\[
\frac{3b}{3} < \frac{39}{3}
\][/tex] This simplifies to: [tex]\[
b < 13
\][/tex]
Therefore, the solution to the inequality [tex]\( 3b - 7 < 32 \)[/tex] is [tex]\( b < 13 \)[/tex].
From the given options: A. [tex]\( b < 5 \)[/tex] B. [tex]\( b < 39 \)[/tex] C. [tex]\( b < 13 \)[/tex] D. [tex]\( b < 8.33 \)[/tex]
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