a+7<_ -17 i think its suppose to say greater than or equal to
i say 24 with a closed circle.
and is the cirlce closed or open when u graph it?
when graphing x=4 is the ordered pair (4,0) or (0,4)
i think its (4,0)
subtract seven from each side
a<=-24
So it is all points to the LEFT of -24 (less than or equal to) or -24. It is an open circle at -24, opening to the left.
To solve the inequality a + 7 ≤ -17, you need to isolate the variable a. Let's break down the process step-by-step:
Step 1: Start with the given inequality: a + 7 ≤ -17.
Step 2: Subtract 7 from both sides of the inequality to move the constant term to the other side: a + 7 - 7 ≤ -17 - 7. This simplifies to a ≤ -24.
Step 3: The solution to the inequality is a ≤ -24. Now, let's discuss how to graph it.
To graph the inequality a ≤ -24, start by drawing a number line. Mark -24 on the number line. As the inequality is inclusive ("less than or equal to"), we use a closed circle to represent -24.
Since the inequality states that a is less than or equal to -24, shaded everything to the left of -24 on the number line. This represents all the values of a that satisfy the inequality.
So, the graph for the inequality a + 7 ≤ -17 is a closed circle at -24 with shading to the left.
I hope this explanation helps you understand the process of solving the inequality and graphing it as well!