Question

Consider the expression 4ܽ +(−3), where b is a negative number and a ˂ b. Is the sum positive or negative? 16. You are 5 ଵ ଷfeet tall. You must be at least 5 ଵ ଶfeet tall to ride a roller coaster. Write and solve an inequality to represent how much taller you must be to ride the roller coaster.

Answer 1

Question:

1. Consider the expression 4ܽ +(−3), where b is a negative number and a ˂ b. Is the sum positive or negative?

2. You are 5 feet tall. You must be at least 5 feet tall to ride a roller coaster. Write and solve an inequality to represent how much taller you must be to ride the roller coaster.

Answer:

1. Their sum will be negative

2.
`x \geq 0`

Explanation:

Solving (1):

Given

`a < b`

If b is negative then a is also negative, because

`a < b<0`

Hence: Both numbers are negative and their sum will be negative.

Solving (2):

Given

`My\ Height = 5ft`

`Required\ Height = At\ least\ 5ft`

Required

Determine the how many more height is need

Represent the needed height with x

So,

`My\ Height + x \geq Required\ Height`

`5 + x \geq 5`

`5 - 5 + x \geq 5 - 5`

`x \geq 0`