Answer:
C. Subtract 1 from both sides of the inequality. Then, divide both sides by 2. The solution is x > 2.
Step-by-step explanation:
You want the solution steps for the inequality ...
2x +1 > 5
Undo
The solution is found by reversing the operations done to the variable. Here, it is multiplied by 2 and 1 is added to the product. We reverse these operations in reverse order.
We subtract 1 from both sides to reverse the addition of 1.
2x +1 -1 > 5 -1
2x > 4
We divide by 2 to reverse the multiplication by 2.
2x/2 > 4/2
x > 2
Choice C gives the correct steps and solution.
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Additional comment
Multiplying or dividing an inequality by a negative number reverses the sense of the inequality symbol. Here, the divisor was positive, so the relation symbol remained unchanged.
