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What is the soultion set of the inequality -6x minus 17 greater than or equal to 8x plus 25?
-6x - 17 >= 8x + 25 -17 >= 14x + 25 -42 >= 14x -3 >= x Therefore x is less than or equal to -3.
What is an inequality for six times a number is less than sixty?
6x < 60
How do you solve this inequality 4x 2x plus 4?
Add 4x + 2x = 6x + 4 = 6x + 4
The sum of 6 and twice a number is multiplied by three This product is greater than or equal to 66 What is the smallest value possible for this number?
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.
How do you solve the inequality 6x-6 less than or equal to 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]
