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Translating Phrases into Linear Inequalities

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Translate each verbal phrase into an inequality.

1.

twice the sum of x and 3 is less than 5

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Image 1A

2.

4 times x plus 2 is at most 10

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3.

fifteen more than three times a number is at most 7

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4.

the sum of two times x and one is at least 11

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5.

eight less than five times a number is greater than 6

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6.

thrice the difference between x and 4 is less than 9

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7.

eleven less than 7 times a number is at least 2

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8.

twice the sum of 13 and x is not greater than 15

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9.

fourteen less than five times a number is at most 10

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10.

thrice the sum of x and 12 is greater than or equal to 8

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Image 10A

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