Graph 26+6b>=2(3b+4)

Problem

26+6*b≥2*(3*b+4)

Solution

1. Distribute the constant on the right side of the inequality.

26+6*b≥6*b+8

2. Subtract 6*b from both sides to isolate the variable terms.

26≥8

3. Analyze the resulting statement. Since 26≥8 is a true statement and the variable b has been eliminated, the inequality holds true for all real numbers.

All real numbers

4. Graph the solution on a number line. Since every value of b satisfies the inequality, the graph consists of a solid line covering the entire number line, typically indicated by shading the whole line and placing arrows at both ends.

(−∞,∞)

Final Answer

26+6*b≥2*(3*b+4)⇒ℝ

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