5y−14<−5.6+2y
Step 1 of 2 :  Solve the inequality and express your answer in interval notation. Use decimal form for numerical values.

To solve the inequality \(5y - 14 < -5.6 + 2y\), follow these steps:

### Step 1: Isolate the variable term on one side.
First, subtract \(2y\) from both sides of the inequality to get all the \(y\) terms on one side:

\[
5y - 2y - 14 < -5.6
\]

Simplifying this, we have:

\[
3y - 14 < -5.6
\]

### Step 2: Isolate the variable \(y\).
Next, add \(14\) to both sides of the inequality to isolate the term involving \(y\):

\[
3y < -5.6 + 14
\]

Simplifying the right side:

\[
3y < 8.4
\]

### Step 3: Solve for \(y\).
Now, divide both sides by \(3\) to solve for \(y\):

\[
y < \frac{8.4}{3}
\]

\[
y < 2.8
\]

### Final Answer in Interval Notation:
In interval notation, the solution is:

\[
(-\infty, 2.8)
\]

Let me know if you want further details or have any questions.

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Here are 5 related questions to practice:

1. Solve the inequality \(7x - 10 \geq 3x + 5\) and express the answer in interval notation.
2. Solve \(4z + 7 > 2z - 5\) and provide the solution in interval notation.
3. How would you solve the inequality \(6 - 2y \leq 4y + 12\) and what is the solution set?
4. Solve the compound inequality \(3x - 1 < 5 \text{ and } 4x + 3 > 7\).
5. What is the interval notation for the inequality \(9a + 1 \geq 3a + 7\)?

**Tip:** When solving inequalities, remember that multiplying or dividing by a negative number reverses the inequality sign.

Learn how to solve the linear inequality 5y - 14 < -5.6 + 2y step-by-step with a detailed solution. This problem covers solving linear inequalities and is suitable for students in Grades 7-9.

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