Question

challenge #2
a. sketch the solutions to this inequality on the number line.
$10 - 6x < 70$
b. enter the solutions to this inequality to help shira eat all the grass.

Explanation:

Step1: Subtract 10 from both sides

To isolate the term with \( x \), we subtract 10 from both sides of the inequality \( 10 - 6x < 70 \). This gives us \( 10 - 6x - 10 < 70 - 10 \), which simplifies to \( -6x < 60 \).

Step2: Divide by -6 (reverse inequality)

When dividing an inequality by a negative number, we must reverse the inequality sign. Dividing both sides of \( -6x < 60 \) by -6 gives \( \frac{-6x}{-6} > \frac{60}{-6} \), which simplifies to \( x > -10 \).

Answer:

\( x > -10 \)