w > 2
d + 6 < 15
s - 1 > 4
please explain
explain what?
could you show me how to get the answer.. name three soultions to the inequality,
w>2
d+6< 15
d<15-6
d<9
s-1>4
s>4+1
s>5
To solve these inequalities, we need to isolate the variable on one side of the inequality sign.
1. w > 2:
To solve this inequality, we want to find the values of "w" that are greater than 2. This means we need to isolate "w" on one side of the inequality. There is no operation to perform on the variable "w," so the inequality stays the same. We have:
w > 2
This inequality states that "w" is greater than 2. For example, if we choose w = 3, it is true because 3 is indeed greater than 2. However, if we choose w = 2 or any value less than 2, it would not satisfy the inequality.
2. d + 6 < 15:
To solve this inequality, we want to find the values of "d" that make the statement "d + 6" less than 15. To isolate "d," we need to subtract 6 from both sides of the inequality:
d + 6 - 6 < 15 - 6
d < 9
This inequality states that "d" is less than 9. For example, if we choose d = 8, it is true because 8 + 6 = 14, which is less than 15. However, if we choose d = 9 or any value greater than 9, it would not satisfy the inequality.
3. s - 1 > 4:
To solve this inequality, we want to find the values of "s" that make the statement "s - 1" greater than 4. To isolate "s," we need to add 1 to both sides of the inequality:
s - 1 + 1 > 4 + 1
s > 5
This inequality states that "s" is greater than 5. For example, if we choose s = 6, it is true because 6 - 1 = 5, which is greater than 4. However, if we choose s = 5 or any value less than 5, it would not satisfy the inequality.
In summary, to solve these inequalities, we isolate the variable on one side of the inequality sign by performing the same operation on both sides. By doing this, we can determine which values satisfy the given inequality.