Question

Which number line shows the solution set to this inequality?

-2x +9 Ο Α.
B.
+
-6
-6
-4
-4
-6
HỌ
-2 0 2 4 6 8 10 12 14
+++++
-2 0 2
OC. ||||+0+||
-2 0 2
-6 -4
OD. AHỌ
-4
-2
HỌC H
4
4
0 2 4
6 8 10 12 14
6
8
6 8
Ret
10
12
14
||
10 12 14
Next

Answer 1

• A

Explanation:

`\mathrm{-2x+9 < x-9}`

`\mathrm{-2x < x-18}`

`\mathrm{-3x < -18}`

`\mathrm{\left(-3x\right)\left(-1\right) > \left(-18\right)\left(-1\right)}`

`\mathrm{3x > 18}`

`\mathrm{\cfrac{3x}{3} > \cfrac{18}{3}}`

`\mathrm{x > 6}`

Therefore, A would be the answer!

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Hope this helps!