5. Acc7.4.8 Practice 5 For each inequality, decide whether the solution is represented by \( x<4.5 \) or \( x>4 \). Select the correct inequality for each problem. 1. \( -24>-6(x-0.5) \) 2. \( -8 x+6>-30 \) 3. \( -2(x+3.2)<-15.4 \)

Let's tackle each inequality step by step! 1. For \( -24 > -6(x - 0.5) \), first, simplify the right side: \( -24 > -6x + 3 \). Rearranging gives us \( -27 > -6x \), or \( x < 4.5 \). So, this inequality corresponds to \( x < 4.5 \). 2. For \( -8x + 6 > -30 \), we rearrange to find \( -8x > -36 \), which when dividing both sides by -8 (remembering to flip the inequality sign) yields \( x < 4.5 \) again! 3. For \( -2(x + 3.2) < -15.4 \), we first distribute: \( -2x - 6.4 < -15.4 \). Adding 6.4 to both sides gives \( -2x < -9 \), and dividing by -2 (again flipping the sign) yields \( x > 4.5 \). So to summarize: 1. \( x < 4.5 \) 2. \( x < 4.5 \) 3. \( x > 4.5 \)