Solve the following linear inequalities using the addition and subtraction properties of equality.
$7 x + 3 < 2 x + 13$

$x is less than 2$

$x is greater than 2$

$x is less than 1.8$

$x is less than or equal to 1.8$

Verified step by step guidance

Start with the given inequality: \$7x + 3 < 2x + 13$.

Use the subtraction property of inequality to get all the $x$ terms on one side. Subtract \$2x$ from both sides: $7x - 2x + 3 < 2x - 2x + 13$, which simplifies to $5x + 3 < 13$.

Next, use the subtraction property again to isolate the term with $x$. Subtract \$3$ from both sides: $5x + 3 - 3 < 13 - 3$, which simplifies to $5x < 10$.

Now, use the division property of inequality to solve for $x$. Divide both sides by \$5$: $\frac{5x}{5} < \frac{10}{5}$, which simplifies to $x < 2$.

The solution to the inequality is $x < 2$, meaning all values of $x$ less than \$2$ satisfy the original inequality.

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Solve the following linear inequalities using the addition and subtraction properties of equality.7x+3<2x+137x+3<2x+13

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Solve the following linear inequalities using the addition and subtraction properties of equality.
$7 x + 3 < 2 x + 13$