Question

Solve the inequality.

4x + 7 > 5

Fill in the blanks to complete the solution set. The first and third blank will contain values. The middle blank will
contain AND or OR.

x < -3 or x > ______

Answer 1

The inequality 4x + 7 > 5 is solved by isolating x to obtain x > -0.5. Thus, the complete solution set stated as 'x < -3 or x > ______' is filled with '-0.5'.

Step-by-step explanation:

To solve the inequality 4x + 7 > 5, we need to isolate the variable x on one side of the inequality.

1. Subtract 7 from both sides of the inequality: 4x + 7 - 7 > 5 - 7, which simplifies to 4x > -2.
2. Divide both sides by 4 to solve for x: 4x / 4 > -2 / 4, which simplifies to x > -0.5.

Therefore, the solution to the inequality is x > -0.5. Since we're asked to complete a given solution set statement, the missing value in the statement 'x < -3 or x > ______' should be '-0.5'.

Thus, the complete solution set is: x < -3 or x > -0.5.