For each inequality on the left side, solve for x and then match it to the correct answer on the right side. Each answer on the right side will be used once. 6(x-2)lt 3(x+5) -7(x+3)lt -5(x-3) (3x+2)/(4)gt x+5 -3(x+5)gt -7(x-3) xlt -18 xgt -18 xlt 9 xgt 9

Let's solve each inequality step by step:<br /><br />1. $6(x-2) < 3(x+5)$<br /> $6x - 12 < 3x + 15$<br /> $3x < 27$<br /> $x < 9$<br /><br />2. $-7(x+3) < -5(x-3)$<br /> $-7x - 21 < -5x + 15$<br /> $-2x < 36$<br /> $x > -18$<br /><br />3. $\frac{3x+2}{4} > x+5$<br /> $3x + 2 > 4(x + 5)$<br /> $3x + 2 > 4x + 20$<br /> $-x > 18$<br /> $x < -18$<br /><br />4. $-3(x+5) > -7(x-3)$<br /> $-3x - 15 > -7x + 21$<br /> $4x > 36$<br /> $x > 9$<br /><br />Now, let's match each inequality to the correct answer:<br /><br />1. $6(x-2) < 3(x+5)$ matches with $x < 9$<br />2. $-7(x+3) < -5(x-3)$ matches with $x > -18$<br />3. $\frac{3x+2}{4} > x+5$ matches with $x < -18$<br />4. $-3(x+5) > -7(x-3)$ matches with $x > 9$