Answer:
88 more people
Explanation:
Let the additional number of people that can be seated be n.
Maximum capacity of auditorium= 250
This means that the amount of people in the auditorium can be exactly 250 or less than that. Thus, the inequality sign used is '≤', which can be read as 'less than or equal to'.
Since there are already 162 people in the auditorium,
162 +n ≤ 250
Subtract 162 from both sides:
n ≤ 250 -162
n ≤ 88
Thus, 88 more people can be seated.
Note:
An equation with an inequality symbol is solved the same way as one with an equal sign, except when dividing both sides of the equation by a negative number (i.e. a number lesser than zero). In that case, the direction of the inequality sign will change:
• > becomes < and vice versa
• ≥ becomes ≤ and vice versa