Question

Guys please help im need this done soon

Answer 1

w>4 , C

Explanation:

To solve the inequality:

• -2(w + 5) + 7 < -11

Let's simplify and solve step by step:

Step 1: Distribute -2 to the terms inside the parentheses:

• -2w - 10 + 7 < -11

Step 2: Combine like terms:

• -2w - 3 < -11

Step 3: To isolate the variable, we'll subtract 7 from both sides:

• -2w - 3 - 7 < -11 - 7
• -2w - 10 < -18

Step 4: Next, we'll divide both sides of the inequality by -2. Since we're dividing by a negative number, we need to flip the inequality sign:

• (-2w - 10) / -2 > (-18) / -2
• w + 5 > 9

Step 5: Finally, we'll subtract 5 from both sides:

• w + 5 - 5 > 9 - 5
• w > 4

Therefore, the solution to the inequality -2(w + 5) + 7 < -11 is w > 4.

See attachment for number line graphing. (#2)