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40 votes
40 votes
Solve the inequality x - 4 < -3. Then graph the solution set. Show your work. ​

User Jorge Novaes
by
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1 Answer

25 votes
25 votes

Answer:

x < 1

Explanation:

x - 4 < - 3

+ 4 +4 Do inverse operations by adding 4 on both sides

x < 1

Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4 -3 -2 -1 0 1 2 3 4

The circle is open because based on the concept that in inequalities, less/greater than and/or equal to (such as these ≥ ≤ ) signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

User Peoplespete
by
2.5k points
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