Question

Translate the given statement into an algebraic inequality or compound inequality:

To avoid an additional charge, the sum of the length, l, width, w, and depth, d, of a piece of luggage to be checked on a commercial airline can be at most 61 inches.



a.

l + w + d greater-than 61

b.

l + w + d less-than 61

c.

l + w + d greater-than-or-equal-to 61

d.

l + w + d less-than-or-equal-to 61

Answer 1

D

Step-by-step explanation: Ede 2021

Answer 2

`l + w + d \leq 61`

Explanation:

Given

Sum of l, w and d be at most 61

Required

Write as inequality

First, we need to determine the sum of l, w and d

`Sum = l + w + d`

Next, we determine the type of inequality.

At most 61 means less than or equal to 61

So, the expression becomes:

`Sum \leq 61`

Substitute value for Sum

`l + w + d \leq 61`