Question

Joe wrote an inequality

for each of the following
statements. Decide whether
Joe's written inequality is
TRUE or FALSE based on
what's typed and compare it
to what he actually wrote.

A
The sum of a number and 7 is not more than 10

x + 7 < 10

B

The product of a number and 4 is at least 20

4X > 20

C
The difference between a 15 and a number is at most 12

15-x>12

D

The quotient of a number and 8 is greater than or equal to

8x <3

Answer 1

Answer:Please see answer in explanation column

Explanation:

A

The sum of a number and 7 is not more than 10

Given answer: x + 7 < 10 , This is false

Reason :Not more than 10 means at most 10, less than or equal to 10 , " or " not greater than 10 "and therefore the correct inequality is written as

x + 7 ≤ 10

B

The product of a number and 4 is at least 20

Given answer: 4X > 20 ---- False

Reason :At least 20 means at no less than 20 " or " greater than or equal to 20 therefore the correct inequality is written as

4X ≥ 20

C

The difference between a 15 and a number is at most 12

Given answer: 15-x>12----False

Reason :At most 12 means " no more than 12 , " " less than or equal to 12 , " or " not greater than 12"therefore the correct inequality is written as

15-x ≤ 12

D

The quotient of a number and 8 is greater than or equal to

Given answer 8x <3 --False

Reason : It clearly stated greater than or equal to 3. Therefore the correct inequality is 8x ≥ 3