Question

Eduardo solved the following inequality and his work is shown below:
-5(x + 4) + 21 ≥ -3 + 4(x - 8)

-5x - 20 + 21 ≥ -3 + 4x - 32

-5x + 1 ≥ 4x - 35

-9x ≥ -36

x ≥ 4

What mistake did Eduardo make in solving the inequalit

Answer 1

He subtracted 4x from both sides when he should have added 5x.
He did not make a mistake.
When dividing by -9, he did not change the ≥ to ≤.
He subtracted 1 from both sides when he should have added 36.

Answer 2

anybody help

Answer 3

Hi
Welcome to openstudy :)
What do you think the answer is?

Answer 4

i think it is d

Answer 5

thats a good try, but its not correct

Answer 6

May I know why you think it is D?

Answer 7

yes, poojas got the right idea. explain yourself, so we can help better.

Answer 8

do you know the rules for both addition/subtraction and multiplication/division for inequalities?

Answer 9

when you divide or multiply, you flip the way the inequality faces, so c would be the answer. Understand?

Answer 10

oh yeah i understand now . wow thanx

Answer 11

can u help me with another one.

Answer 12

sure

Answer 13

A cab charges $1.50 for the flat fee and $0.50 for each mile. Write and solve an inequality to determine how many miles Sharon can travel if she has $25 to spend.

Answer 14

A cab charges $1.50 for the flat fee and $0.50 for each mile. Write and solve an inequality to determine how many miles Sharon can travel if she has $25 to spend.

Answer 15

$0.50 + $1.50x ≥ $25; x ≥ 16 miles
$1.50 + $0.50x ≥ $25; x ≥ 47miles
$0.50 + $1.50x ≤ $25; x ≤ 16 miles
$1.50 + $0.50x ≤ $25; x ≤ 47 miles

Answer 16

i think its b

Answer 17

close, but not quite, explain why you think that.

Answer 18

remember, 25 dollars is the maximum you can have

Answer 19

it c then

Answer 20

it would be d. similar to your original guess, just the inequality must be flipped. 25 is the max, you cant spend more so it must be less than or equal to 25

Answer 21

Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today. Write and solve an inequality to solve for the least amount of money she needs to deposit to avoid a fee. (2 points)

524.96 - 32.50 + x ≤ 500; x ≤ $7.54
524.96 - 32.50 + x ≥ 500; x ≥ $7.54
524.96 + 32.50 - x ≥ 500; x ≥ $57.46
524.96 + 32.50 - x ≤ 500; x ≤ $57.46

Answer 22

this one is A right