Graph -2<=2x-4<4

Problem

−2≤2*x−4<4

Solution

1. Isolate the variable term by adding 4 to all parts of the inequality.

−2+4≤2*x−4+4<4+4

2≤2*x<8

2. Solve for x by dividing all parts of the inequality by 2

2/2≤(2*x)/2<8/2

1≤x<4

3. Identify the interval represented by the inequality.

[1,4)

4. Graph the solution on a number line.

• Place a closed circle (or bracket) at 1 to indicate that 1 is included in the solution set.

• Place an open circle (or parenthesis) at 4 to indicate that 4 is not included.

• Shade the region between 1 and 4

Final Answer

−2≤2*x−4<4⇒1≤x<4

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