Question

find each interval.
for what values of x, does the bionomial 2x-1 have a positive value

Answer 1

To find the values of \( x \) for which the binomial \( 2x - 1 \) is positive, we can set up the inequality:

\[
2x - 1 > 0
\]

Now, we can solve this inequality:

1. Add 1 to both sides:
\[
2x > 1
\]

2. Divide both sides by 2:
\[
x > \frac{1}{2}
\]

Therefore, the binomial \( 2x - 1 \) is positive for all values of \( x \) that are greater than \( \frac{1}{2} \).

**Interval Notation:**
The interval where \( 2x - 1 \) is positive is:
\[
\left( \frac{1}{2}, \infty \right)
\]