Solve for h. 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 - 1Simplify inequality: Simplify both sides of the inequality. After subtracting 1 from both sides, we get: 4h < 8 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. (4h)/4 < 8/4Calculate 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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Solve for $h$ . $\newline$ 4h + 1 < 9

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Math Problems

Grade 7

Solve two-step inequalities

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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.