To solve the inequality 4 × x + 3 × 2 × 2 × x, let’s first clarify it. The expression needs to be correctly phrased as an inequality. For instance, we could be looking at something like 4x + 3 < 2(2x), which is common in solving inequalities.
1. **Combine Like Terms**: First, simplify the right side:
2(2x) = 4x. Now our new inequality is 4x + 3 < 4x.
2. **Isolate the Variable**: Next, by subtracting 4x from both sides, we get:
3 < 0. This statement is false, indicating that there are no solutions for this inequality.
3. **Representing with a Number Line**: Since there are no values of x that would satisfy the inequality, the number line would have no shaded portion – you would simply indicate that there are no solutions, potentially marking a small notation off to the side stating No solution.
This outcome often arises in inequalities indicating that the relationship you initially assumed cannot hold true across any values within the number set.