Question

PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER LIKE JS SOLVE IT ON PAPER W/O NO EXPLANATION OR ON HERE W EXPLANATION.SHOW UR WORK PLS SOLVE INEQUALITIES WITH INTEGERS, Q:#7-#11 THANK UU(:

Answer 1

7) m < -3

8) n > 5

9) x < 8

10) x < -4

11) w > 2

Explanation:

To solve the given inequalities, use algebraic operations to isolate the variable.

Question 7

`\begin{aligned}42& > 6(m+10)\\\\(42)/(6)& > (6(m+10))/(6)\\\\7& > m+10\\\\7-10& > m+10-10\\\\-3& > m\\\\m& < -3\end{aligned}`

`\hrulefill`

Question 8

`\begin{aligned}10(n-11)& > -60\\\\(10(n-11))/(10)& > (-60)/(10)\\\\n-11& > -6\\\\n-11+11& > -6+11\\\\n& > 5\end{aligned}`

`\hrulefill`

Question 9

`\begin{aligned}-97& < -11x-9\\\\-97+9& < -11x-9+9\\\\-88& < -11x\\\\(-88)/(-11)& < (-11x)/(-11)\\\\8& > x\\\\x& < 8\end{aligned}`

Note: When dividing both sides of an inequality by a negative number, the direction of the inequality sign should be reversed.

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Question 10

`\begin{aligned}25x-9& < =-109\\\\25x-9+9& < =-109+9\\\\25x& < =-100\\\\(25x)/(25)& < =(-100)/(25)\\\\x& < -4\end{aligned}`

`\hrulefill`

Question 11

`\begin{aligned}36& < 12(w+1)\\\\(36)/(12)& < (12(w+1))/(12)\\\\3& < w+1\\\\3-1& < w+1=1\\\\2& < w\\\\w& > 2\end{aligned}`