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

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.

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

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.

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

-1.2b / -1.2 ≥ 7.2 / -1.2

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

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 ✅

20

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5050 i think

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