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}
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.
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.