Question

Help stuck on questions 3,4,and 7

Answer 1

3. Answer: x > -5

Explanation:

`(9x+1)/(4)>2x-1\\\\\\(9x+1)/(4)(4)>4(2x-1)\\\\\\9x+1>8x-4\\\\x+1>-4\quad \rightarrow \text{subtracted 8x from both sides}\\\\x>-5\quad \rightarrow \text{subtracted 1 from both sides}\\`

4. Answer:
`\bold{y\leq (28)/(5)}`

Explanation:

`8y-3y+1\leq 29\\\\.\qquad 5y + 1 \leq 29\\\\.\qquad 5y\quad \leq 28\\\\.\qquad y\quad \leq (28)/(5)\\`

7. Answer: x > -24

Explanation:

`(x)/(3)-1<(x)/(2)+3\\\\\\(x)/(3)(6)-1(6)<(x)/(2)(6)+3(6)\\\\\\2x - 6 < 3x + 18\\\\.\quad -6<x + 18\\\\.\quad -24<x\quad \rightarrow \quad x > -24`