Question

1. answer the following: 7 > 6 - x a 7 > x - 6 b 7 < 6 - x 7 < x - 6 5 nice work! 13b solve for x. x =

Explanation:

Step1: Add 6 to both sides

To solve the inequality \( 7 > x - 6 \), we add 6 to both sides of the inequality. This is done to isolate the variable \( x \) on one side. The addition property of inequalities states that if we add the same number to both sides of an inequality, the direction of the inequality remains the same. So, adding 6 to both sides:
\( 7 + 6 > x - 6 + 6 \)

Step2: Simplify both sides

Simplifying the left - hand side: \( 7+6 = 13 \).
Simplifying the right - hand side: \( x-6 + 6=x \).
So, the inequality becomes \( 13 > x \), which can also be written as \( x < 13 \).

Answer:

\( x < 13 \)