[These areFRACTIONS. The Slash signs are forFRACTIONS]

$\displaystyle 1/6x + 1/2 < 1/12x + 2/3$

There are four choices to what this could be.

a: $\displaystyle x < 14/3$

b: $\displaystyle x > 14/3$

c: $\displaystyle x < 2$

d. $\displaystyle x > 2$

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$\displaystyle -4 (3x - 6) < 3 (x + 3)$

There are four choices to this also.

a. x < -1

b. x > 1

c. x < 1

d. x > -1

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$\displaystyle 3 |2x - 4| - 5 < 7$

There are four choices to this.

a. 0 < x < 4

b. x < - 4 or x > 0

c. - 4 < x < 0

d. x < 0 or x > 4

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$\displaystyle |x + 1| - 2 > 5$

There are four choices.

a. 6 < x < -8

b. x > 8 or x < -6

c. 8 < x < -6

d. x > 6 or x < -6

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Dave's grades on four tests were 95, 76, 82, 65. What must his lowest grade on the next test be to have an average greater than 80.

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Six less than a number is between (-3) and 11. What real numbers are possible soulutions ?

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Thank you for your help !!!