To solve the inequality \( 4x > 10 \), follow these steps:
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Divide both sides of the inequality by 4:
\[ x > \frac{10}{4} \]
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Simplify:
\[ x > 2.5 \]
The solution to the inequality \( x > 2.5 \) means that any value of \( x \) that is greater than 2.5 satisfies the inequality.
In terms of graphing, the graph of the inequality will be represented on a number line with an open circle at 2.5 (indicating that 2.5 itself is not included in the solution) and a shaded line extending to the right, showing all numbers greater than 2.5.
When looking for the correct graph, identify one that has:
- An open circle at 2.5
- A shaded area to the right of 2.5
If you have options to choose from, look for these characteristics to find the correct graph.
1 answer