Question

-9x+2> 18 OR 13+15 |< -4​

Answer 1

The given inequality -9x + 2 > 18 or 13x + 15 ≤ -4, the correct solution is option (A) x ≤ -19/13

To solve the inequality -9x + 2 > 18 or 13x + 15 ≤ -4, we need to solve each inequality separately and then combine the solutions.

First, let's solve the first inequality: -9x + 2 > 18.

To isolate x, we need to subtract 2 from both sides of the inequality:

-9x + 2 - 2 > 18 - 2

Simplifying, we get: -9x > 16

Next, we divide both sides of the inequality by -9. Since we are dividing by a negative number, we need to flip the inequality sign: -9x/-9 < 16/-9

Simplifying, we get: x < -16/9

Now let's solve the second inequality: 13x + 15 ≤ -4.

To isolate x, we need to subtract 15 from both sides of the inequality:

13x + 15 - 15 ≤ -4 - 15

Simplifying, we get: 13x ≤ -19

Next, we divide both sides of the inequality by 13: 13x/13 ≤ -19/13

Simplifying, we get: x ≤ -19/13

Now, let's combine the solutions of both inequalities:

x < -16/9 or x ≤ -19/13

From the given answer choices, the correct solution is: (A) x ≤ -19/13

Answer 2

C. -16/9 < x < -19/13

Explanation:

-9x + 2 > 18

~Subtract 2 to both sides

-9x > 16

~Divide -9 to both sides

x < 16/-9

13x + 15 ≤ -4

~Subtract 15 to both sides

13x ≤ -19

~Divide 13 to both sides

x ≤ -19/13

As we can see, there are two different solutions and the only option that shows this is C.

Best of Luck!