Solve the given inequality and graph the solution on a number line -x/2 + 3/2 < 5/2
1 answer:
The correct answer is x>-2. The graph is attached.
To solve this:
-x/2 + 3/2 < 5/2
Subtract 3/2 from both sides:
-x/2 + 3/2 - 3/2 < 5/2 - 3/2
-x/2 < 2/2
-x/2 < 1
Multiply both sides by 2:
(-x/2)*2 < 1*2
-x < 2
Divide both sides by -1:
-x/-1 < 2/-1
Remember to flip the the symbol since you divide both sides by a negative:
x > -2
To graph the inequality, we draw a number line, making sure we have -2 on it. We circle -2 and leave it open, since it is strictly greater than. Then we shade the line to the left.
To solve this:
-x/2 + 3/2 < 5/2
Subtract 3/2 from both sides:
-x/2 + 3/2 - 3/2 < 5/2 - 3/2
-x/2 < 2/2
-x/2 < 1
Multiply both sides by 2:
(-x/2)*2 < 1*2
-x < 2
Divide both sides by -1:
-x/-1 < 2/-1
Remember to flip the the symbol since you divide both sides by a negative:
x > -2
To graph the inequality, we draw a number line, making sure we have -2 on it. We circle -2 and leave it open, since it is strictly greater than. Then we shade the line to the left.
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Answer:
<em>Answer</em><em> </em><em>is</em><em> </em><em>given</em><em> </em><em>in</em><em> </em><em>the image</em><em>. </em>
Step-by-step explanation:
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