Question

Henry's rocket is designed to launch to a height of 100 feet in the air. The measurements so far have the launch height (h) varying no more than 4 feet. Which inequality below represents this scenario?

|h - 4| less than or greater to 100

|h + 4| greater than or equal to 100

|h - 100| less than or greater to 4

|h + 100| greater than or equal to 4

Answer 1

@jdoe0001

Answer 2

Height 'h' must be "varying no more than 4 feet" from 100 feet.
That means the absolute value of the difference between 'h' and 100 should be less than or equal to 4.

Answer 3

The symbol \( \le \) is read as "less than or equal to" and not "less than or greater to"

Answer 4

think about it this way

you have a table with values of launches of the rocket
and each try gives you certain height
we know that rocket goes no further than 100 feet

so whatever those tries height gave, have to be 100 feet or less
wherever those tries values differ, is not less than by 4 units

for example let's say \(\large \begin{array}{llll}
try\ \#&height&off\ by
\\\hline\\
1&97& |97-100|=3\\
2&98&|98-100|=2\\
3&99&|99-100|=1\\
4&101&|101-100|=1\\
5&103&|103-100|=3
\end{array}\)