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$7 > 2x - 3$ What values of $x$ satisfy the inequality?

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Solutions to inequalities

Full solution

Q.

7 > 2x - 3

What values of

x

satisfy the inequality?

Isolate x term: Isolate the term with the variable $x$ . We start with the inequality $7 > 2x - 3$ . To isolate the term with $x$ , we add $3$ to both sides of the inequality. $7 + 3 > 2x - 3 + 3$
Simplify inequality: Simplify both sides of the inequality. $\newline$ After adding $3$ to both sides, we get: $\newline$ $10 > 2x$
Divide by $2$ : Divide both sides by $2$ to solve for $x$ . To find the value of $x$ , we divide both sides of the inequality by $2$ . $\frac{10}{2} > \frac{2x}{2}$
Find solution: Simplify the inequality to find the solution. $\newline$ After dividing by $2$ , we get: $\newline$ $5 > x$ $\newline$ This can also be written as $x < 5$ .

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