In order for a ramp to be safe, the longest side length must be less than or equal to the sum of the other two side lengths. In this case, the longest side length is 10 feet, and the sum of the other two side lengths is 10.5 feet + 2.5 feet = 13 feet. Therefore, the ramp will not be safe because 10 > 13.
To prove this using an inequality, we can represent the side lengths using the variables x, y, and z, where x is the longest side length, y is one of the shorter side lengths, and z is the other shorter side length. We can then write the inequality as follows:
x ≤ y + z
In this case, we have:
x = 10 feet
y = 2.5 feet
z = 10.5 feet
Substituting these values into the inequality, we get:
10 ≤ 2.5 + 10.5
which simplifies to:
10 ≤ 13
Since 10 is not less than or equal to 13, the inequality is not true, and the ramp will not be safe.
