Solve the inequality and graph the solution on the line provided.
41, minus, 6, x, is greater than, 17
41−6x>
17
Answer
Attempt 2 out of 2
Inequality Notation:
Number Line:
Click line to delete. Click closed circle to change to open circle.
-12
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To solve the inequality 41 - 6x > 17, we need to isolate the variable x.
First, we subtract 41 from both sides:
41 - 41 - 6x > 17 - 41
-6x > -24
Next, we divide both sides by -6. It is important to remember that when dividing or multiplying both sides of an inequality by a negative number, we need to reverse the inequality symbol:
(-6x)/(-6) < (-24)/(-6)
x < 4
Therefore, the solution to the inequality is x < 4.
To graph the solution on a number line, we draw a closed circle at 4 (since the inequality is not including 4) and shade all the numbers to the left of 4.
The number line will look like this:
-12----(-10)----(-8)----(-6)----(-4)----(-2)----0----2----4o----6----8----10----12
|---------->|
Solve the inequality and graph the solution on the line provided.
minus, 3, x, minus, 62, is greater than or equal to, minus, 47
−3x−62≥
−47
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
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-6
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Submit Answer
To solve the inequality -3x - 62 ≥ -47, we need to isolate the variable x.
First, we add 62 to both sides:
-3x - 62 + 62 ≥ -47 + 62
-3x ≥ 15
Next, we divide both sides by -3. Remember to reverse the inequality symbol when dividing by a negative number:
(-3x)/(-3) ≤ 15/(-3)
x ≤ -5
Therefore, the solution to the inequality is x ≤ -5.
To graph the solution on a number line, we draw a closed circle at -5 (since the inequality is including -5) and shade all the numbers to the left of -5.
The number line will look like this:
-12----(-10)----(-8)----(-6)----(-4)----(-2)----0----2----4----6----8----10----12
<---------|
Solve the inequality and graph the solution on the line provided.
minus, 5, x, minus, 3, is less than or equal to, 32
−5x−3≤
32
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
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12
Submit Answer
To solve the inequality -5x - 3 ≤ 32, we need to isolate the variable x.
First, we add 3 to both sides:
-5x - 3 + 3 ≤ 32 + 3
-5x ≤ 35
Next, we divide both sides by -5. Remember to reverse the inequality symbol when dividing by a negative number:
(-5x)/(-5) ≥ 35/(-5)
x ≥ -7
Therefore, the solution to the inequality is x ≥ -7.
To graph the solution on a number line, we draw a closed circle at -7 (since the inequality is including -7) and shade all the numbers to the right of -7.
The number line will look like this:
-12----(-10)----(-8)----(-6)----(-4)----(-2)----0----2----4----6----8----10----12
|--------->|
Solve the inequality and graph the solution on the line provided.
8, x, minus, 7, is greater than or equal to, minus, 39
8x−7≥
−39
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
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To solve the inequality 8x - 7 ≥ -39, we need to isolate the variable x.
First, we add 7 to both sides:
8x - 7 + 7 ≥ -39 + 7
8x ≥ -32
Next, we divide both sides by 8:
(8x)/8 ≥ (-32)/8
x ≥ -4
Therefore, the solution to the inequality is x ≥ -4.
To graph the solution on a number line, we draw a closed circle at -4 (since the inequality is including -4) and shade all the numbers to the right of -4.
The number line will look like this:
-12----(-10)----(-8)----(-6)----(-4o)----(-2)----0----2----4----6----8----10----12
|--------->|