Solve the inequality graph the solution set 26+6b>2(3b+4) answers are. All real numbers, b<11/2, b>11/2, no solution thanks
26+6b > 2(3b+4)
26 + 6b > 6b + 8
26 > 8 , which is true
so it is true for all real values of b
To solve the inequality 26+6b > 2(3b+4), follow these steps:
Step 1: Distribute the 2 on the right side:
26 + 6b > 6b + 8
Step 2: Simplify the equation:
6b - 6b > 8 - 26
0 > -18
Step 3: Since 0 is always greater than a negative number, the inequality is always true. Therefore, the solution set is "All real numbers."
To solve the inequality 26 + 6b > 2(3b + 4), you can follow these steps:
Step 1: Distribute the 2 on the right side:
26 + 6b > 6b + 8
Step 2: Simplify the equation by subtracting 6b from both sides to isolate the b terms:
26 > 8
Step 3: Since the inequality 26 > 8 is always true, the inequality 26 + 6b > 2(3b + 4) is also true for all values of b. Therefore, the solution to the inequality is "All real numbers" or (-∞, ∞).
Graphically, this would be represented by shading the entire number line to indicate that all values of b satisfy the inequality.
Therefore, the correct answer is "All real numbers."