Final answer:
The inequality (4x + 6)>7 simplifies to x>0.25 after subtracting 6 from both sides and dividing by 4. The provided solution is checked by substituting a value greater than 0.25 and confirming the inequality holds true.
Step-by-step explanation:
To solve the inequality (4x + 6)>7, we will first eliminate terms to simplify the algebra. Subtract 6 from both sides to isolate the term with the variable x:
Next, divide both sides by 4 to solve for x:
By comparing the answer to the multiple-choice options given, none of them match. Hence, there might be a typo in the question or the options.
To check if the solution is reasonable, substitute a value greater than 0.25 for x and see if the original inequality holds true. For example, if x = 0.3, (4(0.3) + 6) equals 7.2, which is greater than 7, so our solution is reasonable.