Question 1

Question

Consider the inequality.

2x−2<4

Correctly order the steps used to solve the inequality.

(1 point)
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Step 1.
Step 2.
Step 3.
Graph the solution.

subtract 2 from both sides of the inequality
add 4 to both sides of the inequality
multiply by 2 on both sides of the inequality
divide by 4 on both sides of the inequality
open circle, shade right
open circle, shade left
closed circle, shade right
closed circle, shade left
finally, reverse the inequality
finally, do not reverse the inequality

Answer 1

To solve the inequality \( 2x - 2 < 4 \), the correct order of steps would be as follows:

Step 1: Add 2 to both sides of the inequality.
Step 2: Divide by 2 on both sides of the inequality.
Step 3: Finally, do not reverse the inequality.

The graph of the solution would be represented with an open circle, shade right (indicating that the solution set includes all values greater than the found value).

To summarize:

• Step 1: add 2 to both sides of the inequality
• Step 2: divide by 2 on both sides of the inequality
• Step 3: finally, do not reverse the inequality

Graph: open circle, shade right