Solve the inequality and graph the solution on the line provided.
minus, 66, plus, 6, x, is greater than, minus, 42
−66+6x>
−42
To solve the inequality, we can start by adding 66 to both sides of the inequality:
-66 + 66 + 6x > -42 + 66
This simplifies to:
6x > 24
Next, we can divide both sides of the inequality by 6 to solve for x:
6x / 6 > 24 / 6
This simplifies to:
x > 4
Now we can graph the solution on the number line:
Number Line:
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-4 -3 -2 -1 0 1 2 3 4 5 6
Since the inequality states that x is greater than 4, we can shade all the values to the right of 4 on the number line.
To solve the inequality −66+6x > −42, we need to isolate the variable x.
Step 1: Start by adding 66 to both sides of the inequality:
−66+6x + 66 > −42 + 66
6x > 24
Step 2: Divide both sides by 6 to solve for x:
(6x)/6 > 24/6
x > 4
The solution to the inequality is x > 4.
Now, let's graph the solution on a number line:
1. Draw a horizontal line.
2. Mark a point at 4 on the number line.
3. Since the inequality is x > 4, the solution includes all values to the right of 4.
4. Shade the line to the right of 4 to represent the solution.
The graph will show a shaded region to the right of the point 4 on the number line.
To solve the inequality −66+6x > −42, we'll follow these steps:
Step 1: Simplify the inequality.
Step 2: Add 66 to both sides of the inequality.
Step 3: Divide both sides of the inequality by 6.
Step 4: Graph the solution on the number line.
Let's start with step 1 and simplify the inequality:
−66 + 6x > −42
Adding 66 to both sides of the inequality:
−66 + 66 + 6x > −42 + 66
6x > 24
Dividing both sides of the inequality by 6:
(6x)/6 > 24/6
x > 4
Now, let's graph the solution on the number line. Mark a solid point at 4, and draw an arrow to the right:
<-----------------●------------------>
0 1 2 3 4 5 6 ...
The solution to the inequality is x > 4, which means all values of x that are greater than 4 satisfy the inequality.