To solve the inequality [tex]\( 7d - 1 < 6d \)[/tex], follow these steps:
1. Simplify the inequality:
To isolate [tex]\( d \)[/tex] on one side, first subtract [tex]\( 6d \)[/tex] from both sides of the inequality:
[tex]\[
7d - 6d - 1 < 6d - 6d
\][/tex]
This simplifies to:
[tex]\[
d - 1 < 0
\][/tex]
2. Isolate the variable [tex]\( d \)[/tex]:
To isolate [tex]\( d \)[/tex], add 1 to both sides:
[tex]\[
d - 1 + 1 < 0 + 1
\][/tex]
This simplifies to:
[tex]\[
d < 1
\][/tex]
So the solution to the inequality [tex]\( 7d - 1 < 6d \)[/tex] is [tex]\( d < 1 \)[/tex].
Answer: A. [tex]\( d < 1 \)[/tex]
