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Solve for $h$ . $\newline$ $4h + 1 < 9$

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Solve two-step inequalities

Full solution

Q. Solve for

h

.

\newline

4h + 1 < 9

Isolate variable $h$ : Isolate the variable $h$ . We have the inequality $4h + 1 < 9$ . To isolate $h$ , we need to get rid of the constant term on the side with $h$ , which is $+1$ in this case. We do this by subtracting $1$ from both sides of the inequality. $4h + 1 - 1 < 9 - 1$
Simplify inequality: Simplify both sides of the inequality. $\newline$ After subtracting $1$ from both sides, we get: $\newline$ $4h < 8$ $\newline$ This simplifies the inequality and keeps $h$ on one side.
Divide by coefficient: Divide both sides by the coefficient of $h$ . The coefficient of $h$ is $4$ . To solve for $h$ , we divide both sides of the inequality by $4$ . $\frac{4h}{4} < \frac{8}{4}$
Calculate value of h: Calculate the value of $h$ . Dividing both sides by $4$ gives us: $h < 2$ This is the final inequality showing the range of values $h$ can take.

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