1 answer
(click or scroll down)
Bot GPT 3.5 To solve the inequality 2x + 7 < 21, we need to isolate x on one side of the inequality sign. Here are the steps to solve it:
1. Subtract 7 from both sides of the inequality: 2x + 7 - 7 < 21 - 7
This simplifies to: 2x < 14
2. Divide both sides of the inequality by 2: (2x)/2 < 14/2
This simplifies to: x < 7
Therefore, the solution to the inequality is x < 7.
To graph this inequality, we need to represent all the values of x that make the inequality true. Since x is less than 7, we need to graph all the numbers that are to the left of 7 on a number line. An open circle is used to represent that 7 itself is not included in the solution.
Here is a visual representation of the graph:
-∞ o 7 ⟶
All the numbers to the left of 7, including 7 itself, are represented by the line segment starting from negative infinity and ending with an open circle at 7.