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1 year ago

Which number line shows the solution to the inequality 5 ≤ 8-3x ≤ 14?

Mathematics

1 answer:

katen-ka-za [31]1 year ago

5 0

The number line 5 ≤ 8-3x shows the solution to the inequality as x cannot be more than 1.

<h3>What is inequality?</h3>

A inequality compares two values and indicates whether one is smaller, larger, or simply not equal to the other.

a ≠ b is the information that a and b are not equal.

If a > b, a is greater than b. (these two are defined as strict inequality)

a ≤ b proves that a is less than or equal to b

a ≥ b proves that a is greater than or equal to b

The number line 5 ≤ 8-3x shows the solution to the inequality as x cannot be more than 1.

If x is more than 1, lets say 2

Then the inequality as follows

5 ≤ 8-3(2) ≤ 14

5 ≤ 8-6 ≤ 14

5 ≤ 2 ≤ 14 this statement becomes false

Therefore x, must be lower than 1

Learn more about inequality

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Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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In this problem, we have that:

$\mu = 4, \sigma = 0.15$