Question

ax-5>18

SOLVE FOR X

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for x, we need to isolate x on one side of the inequality.

First, we can add 5 to both sides of the inequality:

ax - 5 + 5 > 18 + 5

This simplifies to:

ax > 23

To isolate x, we can divide both sides of the inequality by a (assuming a is positive):

ax/a > 23/a

This simplifies to:

x > 23/a

Therefore, the solution for x is x > 23/a.

Answer 2

State the difference between an equation and an inequality regarding solving steps and solutions.

Answer 3

[AI-generated answer — Bot GPT 3.5]

The main difference between an equation and an inequality is how they are solved and the nature of their solutions.

Equation:
- An equation is a statement that two expressions are equal.
- When solving an equation, the goal is to find the value(s) of the variable(s) that make the equation true.
- The solving steps for an equation involve performing operations to both sides of the equation to isolate the variable. The final result is one or multiple values for the variable that satisfy the equation.
- The solution to an equation can be a single value, multiple values, or even no solution, depending on the equation.

Inequality:
- An inequality is a statement that two expressions are not necessarily equal, but one is larger or smaller than the other.
- When solving an inequality, the goal is to find the range of values for the variable that make the inequality true.
- The solving steps for an inequality are similar to the steps for solving an equation, but with one major difference. When multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.
- The solution to an inequality is usually expressed as a range of values for the variable that satisfy the inequality. This range can be an open interval (e.g., x > 3), a closed interval (e.g., x ≤ 5), or a combination of intervals.

Overall, the main distinction is that an equation aims to find specific values that make it true, while an inequality looks for a range of values that satisfy it.

Answer 4

[AI-generated answer — Step-by-Step Bot]

To solve the inequality ax-5>18, we can follow these steps:

Step 1: Add 5 to both sides of the inequality to isolate the variable term(ax) on one side:
ax - 5 + 5 > 18 + 5
ax > 23

Step 2: Divide both sides of the inequality by 'a' to solve for x:
(ax)/a > 23/a
x > 23/a

So, the solution to the inequality ax-5>18 is x > 23/a.