Solve the inequality x+3<10
Understand the Problem
The question asks to solve the inequality x+3<10, which means finding all values of 'x' that satisfy the inequality. This involves isolating 'x' by performing algebraic operations.
Answer
$x < 7$
Answer for screen readers
$x < 7$
Steps to Solve
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Isolate x To isolate $x$, subtract 3 from both sides of the inequality: $$x + 3 - 3 < 10 - 3$$
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Simplify Simplify both sides of the inequality: $$x < 7$$
$x < 7$
More Information
The solution $x < 7$ means any value of $x$ that is less than 7 will satisfy the original inequality $x + 3 < 10$. For example, if $x = 6$, then $6 + 3 = 9$, which is less than 10.
Tips
A common mistake is forgetting to perform the same operation on both sides of the inequality. For instance, only subtracting 3 from the left side but not the right side. Another mistake is changing the direction of the inequality sign when it's not necessary (the sign only changes when multiplying or dividing by a negative number).
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