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Please solve and graph the following inequalities. show all steps thank you. ​

Please solve and graph the following inequalities. show all steps thank you. ​-example-1
User Jonathan Bick
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1 Answer

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13 votes

Answer:

Explanation:

1. 3x + 1 < 10

= 3x < 10 - 1

= 3x < 9

= (3x < 9)/3

= x < 3

graph: 3 to x

3. -2x + 22 < 18

= -2x < 18 - 22

= -2x < -4

= (-2x < -4) -1 (so that x will be positive)

= 2x < 4

= (2x < 4)/2

= x < 2

graph: 2 to x

5. x/5 - 3 < 6

= x/5 < 6 + 3

= x/5 < 9

= (5) x/5 < 9 (5) multiply both sides by 5 to cancel the denominator of x)

= x < 45

graph: 45 to x

7. x/-2 + 1 > 4

= x/-2 > 4 -1

= x/-2 > 3

= (-2)x/-2 > 3(-2)

= x > -6

= -6 to x

9. -3x - 4 < 8

= -3x < 8 + 4

= -3x < 12

= (-3x < 12)/-3

= x < -4

= -4 to x

11. (-3/4)x + 2 > 11

= (-3/4)x > 11 - 2

= (-3/4)x > 9

= ((-3/4)x > 9)/ -3/4

= x > -9.75

graph: -9.75 to x

User Succeed Stha
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