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91Ó°ÊÓ

Solve the inequality. Graph your solution.

x-4≤-6

Short Answer

Expert verified
x≥24

Step by step solution

01

Step 1. Given information

Inequality: x-4≤-6

02

Step 2. Calculation 

Consider given inequality x-4≤-6,

x−4≤−6x−4×−4≥−6×−4 â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„[∵Multiplying-4onbothsidesandreversetheinequalitysymbol]x≥24 â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„[∵Simplify]

03

Step 3. Graph 

Using graphing calculator to draw the above inequality,

04

Step 4. Interpretation

The above graph represents the inequality x≥24.

Therefore, x≥24 is the required solution.

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