Question

Help!!!!!!!!!!!!!!!!!!!!

Answer 1

Answer: Graph B

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Step-by-step explanation:

Solve each inequality for x

`5x \ge 20` solves to
`x \ge 4` after dividing both sides by 5

`x+14 < 16` solves to
`x < 2` after subtracting 14 from both sides

The original system solves to
`x \ge 4 \ \text{ or } \ x < 2` which is the same as
`x < 2 \ \text{ or } \ x \ge 4`

So x is either less than 2, equal to 4, or larger than 4.

The graph that fits the description above is Choice B. We have an open hole at x = 2 to show we don't include this value. In contrast, there's a filled in hole or closed circle at x = 4 to include this value. The blue shaded region is the set of all possible x values, so we shade to the left of x = 2 and to the right of x = 4.

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Side note: I don't know why your teacher thought it was a good idea to make the answer choice tiles be larger than the actual problem itself. It should be the other way around. Though to be fair, it's probably a design choice that your teacher wasn't involved in.