Question

10<=(Underlined)2x-4<16

How graph?????

Answer 1

Answer:
`7 \le \text{x} < 10`

x is between 7 and 10; including 7 but excluding 10

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Step-by-step explanation:

Let's isolate x. First add 4 to all sides. Then divide all sides by 2.

`10 \le 2\text{x}-4 < 16\\\\10+4 \le 2\text{x} < 16+4\\\\14 \le 2\text{x} < 20\\\\14/2 \le \text{x} < 20/2\\\\7 \le \text{x} < 10\\\\`

The solution set is anything between 7 and 10. We include 7, but exclude 10.

The graph has a closed filled in circle at 7 and an open hole at 10. Shade in between those endpoints to fully describe the solution set.