Question

Which option shows the correct solution to the inequality Bx+10<12
, where B is a number greater than 0?(1 point)
Responses

B<2x
upper B less than Start Fraction 2 over x End Fraction

x<22B
x less than Start Fraction 22 over upper B End Fraction

x<2B
x less than Start Fraction 2 over upper B End Fraction

Bx<2
upper B x less than 2

Answer 1

To solve the inequality \( Bx + 10 < 12 \) for \( B > 0 \), we first isolate \( Bx \):

\[
Bx + 10 < 12
\]

Subtracting 10 from both sides gives:

\[
Bx < 2
\]

Next, since we want to solve for \( x \), we divide both sides by \( B \) (noting that \( B > 0 \), which does not change the direction of the inequality):

\[
x < \frac{2}{B}
\]

So the correct option that shows the solution to the inequality \( Bx + 10 < 12 \) is:

**\( x < \frac{2}{B} \)** (which should correspond to your option that states "x less than Start Fraction 2 over upper B End Fraction").