Question 4 (Multiple Choice Worth 1 points) [02.06] Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3? −5x − 7 < −22 and −5x − 7 ≥ −3 −5x − 7 > −22 and −5x − 7 ≥ −3 −5x > −22 and −7 ≥ −3 −5x − 7 < −22 and −5x − 7 ≤ −3 Question 5 (Multiple Choice Worth 1 points) [02.06] Solve the compound inequality 6b < 24 or 4b + 12 > 4. b < 4 or b > −2 b < 4 or b > 4 b < 4 or b > 2 b > 4 or b < −2
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solve for x from −22 > −5x − 7
@jigglypuff314 can you run me through that
sure :) to solve for x from −22 > −5x − 7 first add 5x to both sides +5x +5x so 5x - 22 > -7 then add 22 to both sides +22 +22 5x > 15 then divide both sides by 5 what do you think you would get? :)
x>3
yes! :) then you would use the same concepts to solve for x from −5x − 7 ≥ −3
then i would get x>2
not quite :) ohhh... sorry... I just realized what the question was asking for >,< erm... the two parts that I asked you to solve would make up your answer
so it would be b.
not quite :) −22 > −5x − 7 is the same as -5x - 7 < -22
so it would be d.!
careful :) −5x − 7 ≥ −3
a.?
yep :)
thnx can u help me with the 2nd one?
solve for b from 6b < 24 (divide both sides by 6)
thnx
that's not all you would also have to solve for b from 4b + 12 > 4 subtract 12 from both sides and divide both sides by 4
b < 4 or b > −2
Right?
correct! :)
can u help with another
The label on the car's antifreeze container claims to protect the car between −30°C and 130°C. To convert Celsius temperature to Fahrenheit temperature, the formula is C = 5 over 9 (F − 32). Write and solve the inequality to determine the Fahrenheit temperature range at which this antifreeze protects the car. −30 > 5 over 9 (F − 32) > 130; −22 > F > 266 −30 < 5 over 9 (F − 32) < 130; −22 < F < 266 −30 < 5 over 9 (F − 32); −22 < F 5 over 9 (F − 32) < 130; F < 266
C is between -30 and 130 so -30 < C < 130 C = (5/9)(F-32) so you get -30 < 5 over 9 (F-32) < 130 follow so far? :)
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