Question

Enter an inequality that represents the description, and then solve.

Six more than four times a number (x) is at least twenty-six.
Inequality:
The solution to the inequality is
A) 4x+6≥26; x≥5
B) 4x+6≤26;x≤5
C) 4x+6≥26; x≤5
D) 4x+6≤26; x≥5

Answer 1

The inequality that represents the description is 4x + 6 ≥ 26, and the solution is x ≥ 5.

Step-by-step explanation:

To represent the inequality, we need to translate the words into mathematical expressions. The phrase 'Six more than four times a number (x) is at least twenty-six' can be written as 4x + 6 ≥ 26. This is because 'four times a number (x)' is represented by 4x, and 'six more than' means adding 6 to that expression. To solve the inequality, we can subtract 6 from both sides of the inequality: 4x + 6 - 6 ≥ 26 - 6, which simplifies to 4x ≥ 20. Finally, we can divide both sides of the inequality by 4 to isolate x: 4x/4 ≥ 20/4, which becomes x ≥ 5.