A graph that shows the solution set for 2x + 3 < 5 is shown on the number line in the picture below.
In Euclidean Geometry, an inequality is a relation that compares two or more numbers and variables in an algebraic equation based on any of the following inequality symbols:
- Less than or equal to (≤).
- Greater than (>).
- Greater than or equal to (≥).
- Less than (<).
Based on the information provided, we can logically deduce that solution set is given by;
2x + 3 < 5
2x < 5 - 3
2x < 2
x < 1
Therefore, the solution set is x < 1, which means a hollow dot would be placed at point 1 on the number line with an arrow that decreases to the left as correctly depicted by the graph shown below.
Complete Question;
Graph the solution to the inquality 2x + 3 < 5.