To solve the inequality −4g≥24 for g, divide both sides by -4, which changes the direction of the inequality symbol, resulting in the equivalent inequality g≤-6.
To find an equivalent inequality to −4g≥24, we want to solve for g. To isolate g on one side, we divide both sides of the inequality by -4. Remember that when you divide or multiply an inequality by a negative number, you must reverse the inequality symbol. So, dividing -4g by -4 and 24 by -4, the resulting inequality is g≤-6.
When teaching this concept, you can use an inequality symbol to show how two metric measurements are related or illustrate it through examples as we've seen above. For practice, you can complete the square on a quadratic equation and solve it using the quadratic formula, applying similar steps to isolating variables and understanding inequalities.