Question

There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. (p [ ] 835
> < ≤ ≥

Answer 1

There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. (p [ ] 835
> < ≤ ≥

P≥835

Answer 2

You can use the fact that ≤ represents "equal lower than" sentence and that "no more than" means is equal or lower than.

The correct symbol would be ≤

Thus, the inequality would look like p ≤ 835

How to find the symbol for presenting "no more than"?

"No more than" means it can be equal to that, or smaller than that but cannot be more than that.

The sentence "equal or less than that" is written symbolically as ≤

The lower line in ≤ shows the equality and that < shows less than.

Thus, we can represent "No more than" with ≤

How to find the appropriate symbol for given condition?

Since it is given that number of people(represented by p) is no more than 835. That means p can be equal or less than 835 but cannot go bigger than 835.

This space of p which it is allowed to take is represented as:

$p \leq 835$

Saying that "p is smaller or equal to 835" automatically implies that p cannot be larger than 835 or else p is not a  constant(which it is assumed to be)

Thus,

Thus, the inequality would look like p ≤ 835

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