Uncle Louise is at least 1 inch shorter than Miriam, and at least 2 inches taller than Jeffery. Jeffery's height is 64 inches. Miriam is not more than 5 inches taller than …

Question

asked Oct 10, 2021 20.8k views

1 Answer

Tiberiu Maxim · Answer 1 · 2021-10-16T01:24:11+0000

Answer:

67 inches

Explanation:

Let's call the height of Louise 'L', the height of Miriam 'M' and the height of Jeffery 'J'.

Then, we can write the following equations and inequations:

$L \leq M - 1$

$L \geq J + 2$

J = 64

$M \leq J + 5$

Substituting J in the second and four inequations, we have:

$L \geq 66$

$M \leq 69$

If we assume the maximum value for M, in the first inequation we have that:

$L \leq 68$

So the height of Uncle Louise is greater than or equal 66, and lesser than or equal 68, so his height could be 67 inches for example.