Option C. 2x-4≤-5 is the correct answer
Step-by-step explanation:
Observing the graph, we can see that the solution is less than or equals to -0.5
So we will solve each inequality to check if it is the solution of any of the inequality
So,
A: -2x-4≥-5
[tex]-2x-4\geq -5\\-2x-4+4\geq -5+4\\-2x\geq -1\\\frac{-2x}{2}\geq \frac{-1}{2}\\-x\geq -0.5\\x\leq 0.5[/tex]
B. -2x-4≥5[tex]-2x-4\geq 5\\-2x-4+4\geq 5+4\\-2x\geq 9\\\frac{-2x}{2}\geq \frac{9}{2}\\-x\geq 4.5\\x\leq -4.5[/tex]
C. 2x-4[tex]2x-4\leq 5\\2x-4+4\leq -5+4\\2x\leq -1\\\frac{2x}{2}\leq \frac{-1}{2}\\x\leq -0.5[/tex]
Hence,
Option C. 2x-4≤-5 is the correct answer
Keywords: Inequality
Learn more about inequality at:
- brainly.com/question/10364988
- brainly.com/question/10435816
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