Question

write 19y > 247 in set notation with brackets

Answer 1

To express the inequality \( 19y > 247 \) in set notation with brackets, we first solve for \( y \):

1. Divide both sides by 19:
\[
y > \frac{247}{19}
\]

2. Calculate \( \frac{247}{19} \):
\[
\frac{247}{19} = 13
\]
(since \( 247 \div 19 = 13 \))

Thus, the inequality simplifies to \( y > 13 \).

In set notation, this can be expressed as:
\[
\{ y \,|\, y > 13 \}
\]
or using interval notation:
\[
(13, \infty)
\]

If you want to express it strictly with brackets, you can write it as:
\[
\{ y \,|\, y \in (13, \infty) \}
\]

This conveys that \( y \) is greater than 13.