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solve the inequality $x - 3 > 4$. $x > 7$ graph the solution set of the…

Question

solve the inequality $x - 3 > 4$.
$x > 7$
graph the solution set of the inequality.
(number line from -10 to 10 with tick marks at each integer, and options for graphing symbols: open circle with arrow left, open circle with arrow right, closed circle with arrow left, closed circle with arrow right, trash can)

Explanation:

Step1: Solve the inequality

Add 3 to both sides: $x - 3 + 3 > 4 + 3$ → $x > 7$

Step2: Graph the solution

Mark an open circle at 7 (since $x≠7$) and shade to the right.

Answer:

  1. $x > 7$
  2. An open circle at 7 on the number line with shading to the right.