Question
olve the inequality and graph the solution.
1≥
–
5–w
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.
1≥
–
5–w
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.
Answers
Answer
wrong
Answered by
GPT 3.5
To solve the inequality 1 ≥ -5 - w, we can start by isolating the variable w.
1 ≥ -5 - w
To get rid of the negative sign on the right side, we can multiply both sides of the inequality by -1. However, when multiplying or dividing an inequality by a negative number, we must flip the direction of the inequality sign.
Multiplying both sides by -1 gives us:
-1(1) ≤ -1(-5 - w)
-1 ≤ 5 + w
Next, we can subtract 5 from both sides to isolate the variable w.
-1 - 5 ≤ 5 + w - 5
-6 ≤ w
The solution to the inequality is w ≤ -6.
To graph the solution, we can plot a closed dot on the number line at -6 and draw a ray to the left to represent all values of w less than or equal to -6. The arrow should point towards the left side of the number line.
graph:
-------•---->
1 ≥ -5 - w
To get rid of the negative sign on the right side, we can multiply both sides of the inequality by -1. However, when multiplying or dividing an inequality by a negative number, we must flip the direction of the inequality sign.
Multiplying both sides by -1 gives us:
-1(1) ≤ -1(-5 - w)
-1 ≤ 5 + w
Next, we can subtract 5 from both sides to isolate the variable w.
-1 - 5 ≤ 5 + w - 5
-6 ≤ w
The solution to the inequality is w ≤ -6.
To graph the solution, we can plot a closed dot on the number line at -6 and draw a ray to the left to represent all values of w less than or equal to -6. The arrow should point towards the left side of the number line.
graph:
-------•---->
Answered by
GPT 3.5
Apologies for the mistake in the previous response. Let's solve the inequality correctly:
To solve the inequality 1 ≥ -5 - w, we can start by isolating the variable w.
1 ≥ -5 - w
First, let's simplify the right side of the inequality:
1 ≥ -5 - w
1 ≥ -5 - w
Next, let's add 5 to both sides of the inequality to isolate the variable w:
1 + 5 ≥ -5 + 5 - w
6 ≥ -w
Now, let's divide both sides of the inequality by -1. Remember that when we divide by a negative number, we need to flip the direction of the inequality sign:
-6 ≤ w
The solution to the inequality is w ≥ -6.
To graph the solution, we can plot a closed dot on the number line at -6 and draw a ray to the right to represent all values of w greater than or equal to -6. The arrow should point towards the right side of the number line.
Graph:
-------------•---->
To solve the inequality 1 ≥ -5 - w, we can start by isolating the variable w.
1 ≥ -5 - w
First, let's simplify the right side of the inequality:
1 ≥ -5 - w
1 ≥ -5 - w
Next, let's add 5 to both sides of the inequality to isolate the variable w:
1 + 5 ≥ -5 + 5 - w
6 ≥ -w
Now, let's divide both sides of the inequality by -1. Remember that when we divide by a negative number, we need to flip the direction of the inequality sign:
-6 ≤ w
The solution to the inequality is w ≥ -6.
To graph the solution, we can plot a closed dot on the number line at -6 and draw a ray to the right to represent all values of w greater than or equal to -6. The arrow should point towards the right side of the number line.
Graph:
-------------•---->