Answered

Solve this inequality.

[tex]\[ 7d - 1 \ \textless \ 6d \][/tex]

A. [tex]\( d \ \textless \ 1 \)[/tex]
B. [tex]\( d \ \textgreater \ -1 \)[/tex]
C. [tex]\( d \ \textless \ -\frac{1}{6} \)[/tex]
D. [tex]\( d \ \textgreater \ 1 \)[/tex]
E. [tex]\( d \ \textless \ -1 \)[/tex]



Answer :

GinnyAnswer
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]