1. \( k+12 \geq 20 \), if \( k=15 \)
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Let's plug in the value of \( k \) into the inequality. If \( k = 15 \), we substitute that in to get: \( 15 + 12 \geq 20 \) Calculating the left side: \( 27 \geq 20 \) This statement is true! So with \( k = 15 \), the condition holds. If only all inequalities were that straightforward! Transformations and isolating the variable can often lead to confusion. Just remember, when checking values, substitute back to see if the equation holds true. Fun fact: many inequalities can help us in real-life situations like budgeting or planning schedules.