Answer:
1. m-3>-6:
To solve this inequality, we need to isolate the variable m. Let's add 3 to both sides of the inequality:
m - 3 + 3 > -6 + 3
This simplifies to:
m > -3
So, the solution to the inequality is m > -3.
2. 4<4+s:
To solve this inequality, we need to isolate the variable s. Let's subtract 4 from both sides of the inequality:
4 - 4 < 4 + s - 4
This simplifies to:
0 < s
So, the solution to the inequality is s > 0.
3. 7 < x + 15:
To solve this inequality, we need to isolate the variable x. Let's subtract 15 from both sides of the inequality:
7 - 15 < x + 15 - 15
This simplifies to:
-8 < x
So, the solution to the inequality is x > -8.
4. p-(-3)>10:
To solve this inequality, we need to simplify the expression inside the parentheses first. The double negative (-(-3)) becomes positive:
p + 3 > 10
Next, let's subtract 3 from both sides of the inequality:
p + 3 - 3 > 10 - 3
This simplifies to:
p > 7
So, the solution to the inequality is p > 7.
5. q + 6 - 5 > 4:
To solve this inequality, let's simplify the expression by combining like terms:
q + 1 > 4
Next, let's subtract 1 from both sides of the inequality:
q + 1 - 1 > 4 - 1
This simplifies to:
q > 3
So, the solution to the inequality is q > 3.
6. 3 - 11 + t > - 2:
To solve this inequality, let's simplify the expression by combining like terms:
-8 + t > -2
Next, let's add 8 to both sides of the inequality:
-8 + t + 8 > -2 + 8
This simplifies to:
t > 6
So, the solution to the inequality is t > 6.
7. 22 + (-9c) + 10c < 5 + 1:
To solve this inequality, let's simplify the expression by combining like terms:
22 + c < 6
Next, let's subtract 22 from both sides of the inequality:
22 + c - 22 < 6 - 22
This simplifies to:
c < -16
So, the solution to the inequality is c < -16.
I hope this helps! Let me know if you have any further questions.