Describe the solutions of each inequality in words.
1). -2 < h + 1
2). 5 - x _< 2
both are open intervals extending to +∞
I need help please
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To describe the solutions of each inequality in words, we need to break down each inequality and interpret the statements.
1) -2 < h + 1:
In this inequality, we have -2 is less than h + 1. To find the solutions, we need to isolate the variable h.
Subtracting 1 from both sides, we get:
-2 - 1 < h + 1 - 1
-3 < h
So, the solution to this inequality is:
"Any number greater than -3 would be a solution."
2) 5 - x ≤ 2:
In this inequality, we have 5 minus x is less than or equal to 2. To find the solutions, we need to isolate the variable x.
Subtracting 5 from both sides, we get:
5 - 5 - x ≤ 2 - 5
-x ≤ -3
When multiplying or dividing by a negative number, we need to flip the inequality sign. So, multiplying both sides by -1, we get:
-1(-x) ≥ -1(-3)
x ≥ 3
So, the solution to this inequality is:
"Any number greater than or equal to 3 would be a solution."