5n - 1 ≥ 6
Add 1 to both sides: 5n ≥ 7
Divide both sides by 5: n ≥ 7/5 = 1.4
No.
-3<6 The inequality sign for less than is <
This isn't an inequality, since there is no less-than, greater-than, less-than-or-equal, or greater-than-or-equal sign. However, solving inequalities is similar to solving equations; however, when you multiply by a negative number, you must change the direction of the inequality sign.
9
x ∉ {-6, 6}
No.
8
x ≥ 6
Just replace the words "is greater than" with the sign ">", and you get the inequality, in this case: x > 6
-3<6 The inequality sign for less than is <
To find the inequality with 20 as a solution, we can represent it as x > 20, x ≥ 20, x < 20, or x ≤ 20. The inequality x ≥ 20 would have 20 as a solution since it includes all values greater than or equal to 20. This means that any number equal to or greater than 20 would satisfy the inequality x ≥ 20.
This isn't an inequality, since there is no less-than, greater-than, less-than-or-equal, or greater-than-or-equal sign. However, solving inequalities is similar to solving equations; however, when you multiply by a negative number, you must change the direction of the inequality sign.
4y > 16 divide by 6 both sides; y > 4 This inequality is true for all y greater than 4 (4 is not a solution).
9
x ∉ {-6, 6}
You need to flip the inequality sign when you multiply or divide both sides of the inequality by a negative number. For example, if you have an inequality like ( -2x < 6 ) and you divide by -2, it becomes ( x > -3 ). However, when adding or subtracting a number from both sides, the inequality sign remains unchanged.
6. Your problem can be written as y≤6≤y. Since the value y must be either less than AND greater than 6 OR simply equal to 6, the only number that can go on both sides of this inequality is 6.