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sladkih [1.3K]
3 years ago
7

What is the answer to this? −1.2b−5.3≥1.9

Mathematics
2 answers:
babymother [125]3 years ago
6 0

Answer:

<h2>b ≤ -6 ✅</h2>

Step-by-step explanation:

To solve an inequality, we will solve just like a normal equation. The goal is to isolate b, so we can determine the set of values it can take on.

<h3>Step 1: Add 5.3</h3>

We need to reverse the operation - 5.3, so we add 5.3.

-1.2b - 5.3 + 5.3 ≥ 1.9 + 5.3

-1.2b ≥ 7.2

<h3>Step 2: Divide by -1.2</h3>

We need to reverse the multiplication that is multiplying b by -1.2, so we will divide. However, we must remember an important rule first.

<u><em>Important: When we divide by a negative number in an inequality, we must reverse the inequality sign, so ≥ becomes ≤.</em></u>

-1.2b / -1.2 ≥ 7.2 / -1.2

b ≤ -6 (remember to reverse the sign!)

<h3>Step 3: Check</h3>

We now substitute our answer in and see if it is correct. We will use a number that is smaller than -6, for example, -8.

-1.2(-8) - 5.3 ≥ 1.9

9.6 - 5.3 ≥ 1.9

4.3 ≥ 1.9 ✅

We can check again with -6, since this and all numbers smaller than it should be a solution set.

-1.2(-6) - 5.3 ≥ 1.9

7.2 - 5.3 ≥ 1.9

1.9 ≥ 1.9 ✅

<h2>b ≤ -6 ✅</h2>
TEA [102]3 years ago
4 0

Answer:

b≤−6

here u go

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