Question

solve the inequality and graph the solution. 1 < 4 - 1

Explanation:

Step1: Solve the inequality

1 - 4x < 1
Subtract 1 from both sides: -4x < 0.
Divide both sides by - 4 and reverse the inequality sign (since dividing by a negative number): x>0.

Step2: Graph the solution

The solution x > 0 is an open - ray starting at 0 and going to the right. On the number - line, we use an open circle at 0 (because 0 is not included in the solution set) and draw an arrow to the right.

Answer:

The solution of the inequality is x > 0. On the number - line, we plot an open circle at 0 and draw an arrow to the right.