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.

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.

1. Their sum will be negative

2.

Step-by-step explanation:

Solving (1):

Given

If b is negative then a is also negative, because

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

Solving (2):

Given

Required

Determine the how many more height is need

Represent the needed height with x

So,

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.