Question

Unit 6, Lesson 15

Answer 1

Based on the calculations, we can predict that 2, 3, 4, 5, etc., will make the inequality true.

How to solve an inequality?

In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.

Evaluating the given inequality, we have:

-1 ≤ x/2

-2 ≤ x

x ≥ 2.

Therefore, we can predict that 2, 3, 4, 5, etc., will make the inequality true.

Next, we would complete the table to check our prediction:

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

x/2     -2    -1.5    -1    -0.5   0   0.5   1    1.5   2

When x = -2:

-1 ≤ -2  (false)

When x = 2:

-1 ≤ 1 (true)

When x = 3:

-1 ≤ 3  (true)

When x = 4:

-1 ≤ 4  (true)

Read more on inequalities here: brainly.com/question/24372553

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Complete Question:

1. a. Consider the inequality -1 ≤ x/2.

i. Predict which values of will make the inequality true.

ii. Complete the table to check your prediction.