Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 18, 2024

Solve the inequality $5x + 10 > 30$ and select the correct solution.

STEP 1

Assumptions
1. We are given the inequality $5x + 10 > 30$ .
2. We need to solve for $x$ .
3. The solution will be in the form of an inequality indicating the range of values $x$ can take.

STEP 2

First, we need to isolate the variable $x$ on one side of the inequality. We can do this by subtracting 10 from both sides of the inequality.
$5x + 10 - 10 > 30 - 10$

STEP 3

Perform the subtraction on both sides to simplify the inequality.
$5x > 20$

STEP 4

Now, we need to solve for $x$ by dividing both sides of the inequality by 5.
$\frac{5x}{5} > \frac{20}{5}$

STEP 5

Perform the division to find the value of $x$ .
$x > 4$
The solution to the inequality $5x + 10 > 30$ is $x > 4$ .

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