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Q: What is the inequality for x if -2 6X greater than 22?

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-6x - 17 >= 8x + 25 -17 >= 14x + 25 -42 >= 14x -3 >= x Therefore x is less than or equal to -3.

6x < 60

Add 4x + 2x = 6x + 4 = 6x + 4

First solve the inequality for x. The sum of 6 and twice a number (the unknown, represented by the variable x) multiplied by 3 translates to this expression algebraically: 3(2x + 6). This product is greater than or equal to 66. Expand the multiplication to: 6x + 18, which is greater than or equal to 66. Then subtract 18 from both sides to get: 6x is greater than or equal to 48. Then divide both sides by 6 to get: x is greater than or equal to 8. If x is greater than or equal to 8, then x could be 8 or 9 or 10, etc., any number from 8 on up into infinity! The smallest possible value for x given these constraints is 8.

6x - 6 ≤ 8 add 6 to both sides 6x ≤ 14 divide by 6 to both sides x ≤ 14/6 simplify x ≤ 7/3 {x| x ≤ 7/3 } or ( -∞, 7/3]

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-6x - 17 >= 8x + 25 -17 >= 14x + 25 -42 >= 14x -3 >= x Therefore x is less than or equal to -3.

6x < 60

The solution of -6x = -16 is x = 2 2/3, which is greater than -16.

-6x-17 ≥ 8x+25Add 17 to both sides:-6x ≥ 8x+42Subtract 8x from both sides:-14x ≥ 42Divide both sides by -14. Since we are diving by a negative number, flip the sign.x ≤ -3

Split it into two cases. First - 6x-5 is positive(greater or equal to zero): Equation will get following form: 6x-5 <= 5 This resolves to x <= 10/6. Second case - 6x-5 is less than zero: Equation will get following form: -6x+5 <= 5 This resolves to x >= 0. As we can see, x has to be both greater than zero and less than or equal to 10/6, and this is our answer. 0 <= x <= 10/6

x is greater than 1.

You solve an inequality by treating the greater than and less than like a equal sign, an example is 6x + 15 is less than 9. You could see it as 6x + 15 = 9, so you minus 15 from 9, making it -6. Now, 6x = -6. Divide by 6, and you get x is less than -1. After this, x can equal anything that is less than -1. You can make x equal -2, now you can check the problem: 6x + 15 is less than 96(-2) + 15 is less than 9-12 + 15 is less than 93 is less than 9TRUE!!! This is a true statement because 3 is less than 9. Good luck in the world of Math!

Add 4x + 2x = 6x + 4 = 6x + 4

6x-4 = 18 6x = 18+4 6x = 22 x = 22/6 = 3 and 2/3

First solve the inequality for x. The sum of 6 and twice a number (the unknown, represented by the variable x) multiplied by 3 translates to this expression algebraically: 3(2x + 6). This product is greater than or equal to 66. Expand the multiplication to: 6x + 18, which is greater than or equal to 66. Then subtract 18 from both sides to get: 6x is greater than or equal to 48. Then divide both sides by 6 to get: x is greater than or equal to 8. If x is greater than or equal to 8, then x could be 8 or 9 or 10, etc., any number from 8 on up into infinity! The smallest possible value for x given these constraints is 8.

6x - 6 ≤ 8 add 6 to both sides 6x ≤ 14 divide by 6 to both sides x ≤ 14/6 simplify x ≤ 7/3 {x| x ≤ 7/3 } or ( -∞, 7/3]

6x + 7 < 3x + 106x - 3x