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 <
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.
It is standard procedure to shade the area where the Inequality does NOT apply, leaving the unshaded area to show where the Inequality is valid. Choosing a simple illustration, the Inequality y > 6 would be graphically represented by a dotted line passing though y = 6 and parallel to the x-axis. The area below this line would be shaded as this represents the zone where y < 6. Note : A broken/dotted line is used to illustrate the boundary where a true Inequality applies (e.g. < or >). A solid line is used where the Inequality also includes an equals sign (e.g. ≤ less than or equal to, or ≥ greater than or equal to ).
16 is greater than 6.