Question

________________________

Answer 1

`\boxed {x < 1}`

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`:

`(-9)/(-3) < (-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`:

`(5x)/(5) < (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:
  `(-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<3`

✺ Add 2 to both sides:

• Turns into:
  `5x<3+2`

✺ Add 3 and 2 to get 5:

• 3 + 2 = 5
• Turns into:
  `5x<5`

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

• 5 ÷ 5 = Cancels Out
• Turns into:
  `x<(5)/(5)`

✺ Divide 5 by 5 to get 1:

• 5 ÷ 5 = 1

✺ So your answer is B,
`\boxed{x<1}`.

(Number line is below.)

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