Solve -2.7<_b+5
b>_7.7
b>_-2.3
b>_2.3
b<_-7.7
The solutions for the inequality -2.7 < b + 5 are:
b > -7.7
The solutions for the inequality b > 7.7 are:
b > 7.7
The solutions for the inequality b > -2.3 are:
b > -2.3
The solutions for the inequality b > 2.3 are:
b > 2.3
The solutions for the inequality b < -7.7 are:
There are no solutions for this inequality because it contradicts the previous inequality b > -7.7.
To solve the inequalities, we need to interpret the signs and solve them step by step. Let's start with the first inequality:
-2.7 < b + 5
To isolate b, we need to subtract 5 from both sides of the inequality:
-2.7 - 5 < b
Simplifying the left side of the inequality:
-7.7 < b
So, we have the solution: b > -7.7.
Moving on to the next inequality:
b > 7.7
Here, we have a straightforward solution: b needs to be greater than 7.7.
Now, let's examine the third inequality:
b > -2.3
Again, this is a straightforward solution: b needs to be greater than -2.3.
Next, the fourth inequality:
b > 2.3
This indicates that b must be greater than 2.3.
Finally, the fifth inequality:
b < -7.7
Here, b must be less than -7.7.
Summarizing the solutions for each inequality:
-2.7 < b + 5 -> b > -7.7
b > 7.7
b > -2.3
b > 2.3
b < -7.7
To solve the inequality -2.7 < b + 5, we need to keep the equation true while isolating b on one side of the inequality sign.
1. Start by subtracting 5 from both sides of the inequality:
-2.7 - 5 < b + 5 - 5
-7.7 < b
Therefore, the first solution is b > -7.7.
To solve the inequality b > 7.7, we already know that b must be greater than -7.7 from the previous inequality. Thus, we can conclude that:
2. The second solution is b > 7.7.
To solve the inequality b > -2.3, we again have to consider the previous inequality. We know that b must be greater than -7.7 to satisfy the first inequality. So we need to find the value of b that satisfies both -7.7 < b and b > -2.3.
3. From the two inequalities, we can conclude that b must be greater than -2.3.
To solve the inequality b > 2.3, we consider the previous inequality. We know that b must be greater than -2.3 to satisfy the third inequality. Therefore:
4. The fourth solution is b > 2.3.
To solve the inequality b < -7.7, we already know that b must be greater than 2.3 from the previous inequality. So we need to find the value of b that satisfies both b > 2.3 and b < -7.7.
5. However, there is no value of b that satisfies both b > 2.3 and b < -7.7. Therefore, there is no solution for b < -7.7.
In summary, the solutions to the given inequalities are:
-7.7 < b
b > 7.7
b > -2.3
b > 2.3
Solve -2.7<_b+5
To solve the inequality -2.7 ≤ b + 5, we can begin by subtracting 5 from both sides:
-2.7 - 5 ≤ b + 5 - 5
-7.7 ≤ b
Therefore, the solution for the inequality is b ≥ -7.7.