Question

________________________

Answer 1

Answer:

$\boxed {x < 1}$

Step-by-step explanation:

Solve the following inequality:

$-9 < -3(5x - 2)$

-When you are dividing an integer by a negative integer, then the inequality sign changes. So, divide both sides by $-3$:

$\frac{-9}{-3} < \frac{-3}{-3} + 5x - 2$

$3 > 5x - 2$

-Switch sides:

$5x - 2 < 3$

-Add $2$ to both sides:

$5x - 2 + 2 = 3 + 2$

$5x < 5$

-Divide both sides by $5$:

$\frac{5x}{5} < \frac{5}{5}$

$\boxed {x < 1}$

The number line graphed (if needed):

Answer 2

✩ Answer:

 ✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*  

 $\bold{Hello!}\\\bold{Your~answer~is~below!}$  

✩ Step-by-step explanation:

 ✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*

✺ Divide both sides by −3. Since −3 is negative, the inequality direction is changed:

• -3 ÷ -3 = Cancels Out
• Turns into: $\frac{-9}{-3} >5x-2$

✺ Divide −9 by −3 to get 3. Since they are both negatives it turns into a positive:

• -9 ÷ -3 = 3
• Turns into: $3 > 5x - 2$

✺ Swap sides so that all variable terms are on the left hand side. This changes the sign direction once more:

• Turns into: $5x-2$

✺ Add 2 to both sides:

• Turns into: $5x$

✺ Add 3 and 2 to get 5:

• 3 + 2 = 5
• Turns into: $5x$

✺ Divide both sides by 5. Since 5 is positive, the inequality direction remains the same:

• 5 ÷ 5 = Cancels Out
• Turns into: $x$

✺ Divide 5 by 5 to get 1:

• 5 ÷ 5 = 1

✺  So your answer is B, $\boxed{x$.

(Number line is below.)

$Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex$