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Willow solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?(1 point)Responses
1.x - 2 1/3< 2 1/6
2.x + 1.75 ≤ 5.75
3.x + 2 1/2< 2 1/2
4. x - 1.5 ≤ 3
can you simplify the answer so i understand it better so i can show my work

1 answer

Willow solved the inequality x - 2 1/3 < 2 1/6.

To simplify this, we can first find a common denominator for the fractions. The common denominator for 3 and 6 is 6, so we can rewrite the inequality as:

x - (7/3) < (13/6)

Next, we can simplify the fractions:

x - (7/3) < (13/6)

To get rid of the fractions, we can multiply both sides of the inequality by 6:

6x - 14 < 13

Finally, we can add 14 to both sides:

6x < 27

Dividing both sides by 6:

x < 4.5

Therefore, the simplified inequality that Willow solved is x < 4.5.