Question

−7x+1−8x≤−14
Inequality
Combine like terms
Undo Addition/Subtraction
Undo Multiplication/Division

Answer 1

To solve the inequality \(-7x + 1 - 8x \leq -14\), we'll follow the steps to combine like terms, then undo addition/subtraction, and finally undo multiplication/division.

### Step 1: Combine Like Terms
Combine the \(x\) terms in the inequality:

\[
-7x - 8x + 1 \leq -14
\]

This simplifies to:

\[
-15x + 1 \leq -14
\]

### Step 2: Undo Addition/Subtraction
Next, we need to isolate the term with \(x\) by undoing the addition of 1. We do this by subtracting 1 from both sides:

\[
-15x + 1 - 1 \leq -14 - 1
\]

This simplifies to:

\[
-15x \leq -15
\]

### Step 3: Undo Multiplication/Division
Now, we will divide both sides by -15. Remember that when you divide or multiply by a negative number, the inequality sign flips.

\[
x \geq 1
\]

### Final Result
So, the solution to the inequality is:

\[
x \geq 1
\]

This means that \(x\) can be any number greater than or equal to 1.