Solve for w: 7w< -42 


w> -6


w=-6


w < 6


w< -6

To solve the inequality \( 7w < -42 \) for \( w \), follow these steps:

1. Divide both sides of the inequality by 7:
   \[
   \frac{7w}{7} < \frac{-42}{7}
   \]

2. Simplify both sides:
   \[
   w < -6
   \]

So the solution is:
\[
w < -6
\]

The correct answer is: \( w < -6 \).

Do you want more details or have any questions?

Here are 8 related questions for further practice:

1. Solve for \( x \): \( 5x \leq -15 \)
2. Solve for \( y \): \( -3y > 9 \)
3. Solve for \( z \): \( 2z \geq 8 \)
4. Solve for \( a \): \( -4a < 20 \)
5. Solve for \( b \): \( 6b \leq -18 \)
6. Solve for \( c \): \( 8c > -32 \)
7. Solve for \( d \): \( -2d \geq 6 \)
8. Solve for \( e \): \( 10e < -50 \)

**Tip:** When dividing or multiplying both sides of an inequality by a negative number, remember to reverse the inequality sign.

Learn how to solve the inequality 7w < -42 step-by-step. Understand the division of inequalities and how to interpret the solution w < -6. Suitable for high school students studying algebraic inequalities.

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