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.
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:
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wrong
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:
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