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Solve for x: −3x + 3 < 6 x > −1 x < −1 x < −3 x > −3 Question 2 (Multiple Choice Worth 2 points) [02.05] Marcie solved the following inequality and her work is shown below: −2(x − 5) − 12 ≤ 4 + 6(x + 3) −2x + 10 − 12 ≤ 4 + 6x + 18 −2x − 2 ≤ 6x + 22 −8x ≤ 24 x ≤ −3 What mistake did Marcie make in solving the inequality? She subtracted 6x from both sides when she should have added 2x. She added 2 to both sides when she should have subtracted 22. When dividing by −8, she did not change the ≤ to ≥. She did not make a mistake. Question 3 (Multiple Choice Worth 2 points) [02.05] Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee. 727.29 + 248.50 − x ≥ 500; x ≥ $475.79 727.29 + 248.50 − x ≤ 500; x ≤ $475.79 727.29 − 248.50 + x ≥ 500; x ≥ $21.21 727.29 – 248.50 - x ≤ 500; x ≤ $21.21 Question 4 (Multiple Choice Worth 2 points) [02.05] A cab charges $1.50 for the first mile and $0.50 for each additional mile. Write and solve an inequality to determine how many miles Sharon can travel if she has $25 to spend. $0.50 + $1.50x ≤ $25; x ≤ 16 miles $0.50 + $1.50x ≥ $25; x ≥ 16 miles $1.50 + $0.50x ≤ $25; x ≤ 47 miles $1.50 + $0.50x ≥ $25; x ≥ 47miles Question 5 (Multiple Choice Worth 1 points) [02.05] Solve for x: 5 − (x + 5) > −2(x + 4) x > −8 x < −8 x > −18 x < −18 Question 6 (Multiple Choice Worth 2 points) [02.05] A pack of paper costs $3.75 including tax. Mr. Cooper wants to purchase packs of paper for his class and has a $20 budget. Write an inequality to solve for the number of packs of paper Mr. Cooper can purchase with his budget. $3.75x ≥ $20 $3.75x ≤ $20 $20x ≤ $3.75 $20x ≥ $3.75
@jigglypuff314
yeah okay, but I don't have as much time today :/ Solve for x: −3x + 3 < 6 x > −1 x < −1 x < −3 x > −3 to do this subtract both sides by 3 to get -3x < 3 then divide both sides by -3 and the rule is to flip the sign when multiplying or dividing by a negative
x > −1
Marcie solved the following inequality and her work is shown below: −2(x − 5) − 12 ≤ 4 + 6(x + 3) −2x + 10 − 12 ≤ 4 + 6x + 18 −2x − 2 ≤ 6x + 22 −8x ≤ 24 x ≤ −3 What mistake did Marcie make in solving the inequality? She subtracted 6x from both sides when she should have added 2x. She added 2 to both sides when she should have subtracted 22. When dividing by −8, she did not change the ≤ to ≥. She did not make a mistake. it was the rule I was talking about before :) you have to flip the sign when multiplying or dividing by a negative number
Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee. 727.29 + 248.50 − x ≥ 500; x ≥ $475.79 727.29 + 248.50 − x ≤ 500; x ≤ $475.79 727.29 − 248.50 + x ≥ 500; x ≥ $21.21 727.29 – 248.50 - x ≤ 500; x ≤ $21.21 (what he has) must be greater than 500 he has a positive 727.29 to begin with then subtracts 248.50 so you would get 727.29 - 248.50 + x > 500
A cab charges $1.50 for the first mile and $0.50 for each additional mile. Write and solve an inequality to determine how many miles Sharon can travel if she has $25 to spend. $0.50 + $1.50x ≤ $25; x ≤ 16 miles $0.50 + $1.50x ≥ $25; x ≥ 16 miles $1.50 + $0.50x ≤ $25; x ≤ 47 miles $1.50 + $0.50x ≥ $25; x ≥ 47miles (spend) < 25 (spend) = 0.5 per mile plus 1.5 for the first "per" is multiplication let "mile" = x so (spend) = 0.50x + 1.50
Solve for x: 5 − (x + 5) > −2(x + 4) x > −8 x < −8 x > −18 x < −18 distribute to get 5 - x - 5 > -2x - 8 then add 2x to both sides _2x _2x x + 0 > 0 - 8 simplify :P
wait if you dont have time just give me the answers so it could be quicker good explanation but If you have to go just do the answers k is your choice. :P
A pack of paper costs $3.75 including tax. Mr. Cooper wants to purchase packs of paper for his class and has a $20 budget. Write an inequality to solve for the number of packs of paper Mr. Cooper can purchase with his budget. $3.75x ≥ $20 $3.75x ≤ $20 $20x ≤ $3.75 $20x ≥ $3.75 "pack" = x "per" means to multiply so 3.75 per pack = 3.75x which has to be less than (<) 20
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lol ur right
good night
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