Question

-4h - 3 < 9 h < 12 h > -3 h < -3 h > -12

Answer 1

The solution of the inequality is h > -3 ⇒ 2nd answer

Step-by-step explanation:

Let us revise very important notes about solving inequalities

• You can add and subtract both sides of inequality by a number without change the sign of inequality
• You can multiply or divide both sides of inequality by a positive number without change the sign of inequality
• You can multiply or divide both sides of inequality by a negative number with change the sign of inequality (-2x < 4 ⇒ ÷ (-2) makes it x > -2)

∵ -4 h - 3 < 9

- Start with adding both sides by 3 to separate the variable

   in one side and the numerical term in the other side of the

   inequality sign

∴ -4 h - 3 + 3 < 9 + 3

∴ -4 h < 12

- Now divide both sides by -4 and use the last note above

∵ -4 ÷ -4 = 1

∵ 12 ÷ -4 = -3

∵ < must change to > (because we divide both sides by (-) number

∴ h > -3

The solution of the inequality is h > -3

Learn more:

You can learn more about solving inequalities in brainly.com/question/11788572

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