Question

Find all numbers that satisfy the given condition. 1. Three less than twice the sum of a number and 6 is at most 13. 2. Five less than 3 times the sum of a number and 4 is at most 10. 3. Five times the sum of a number and 3 is at least 5. 4. Three times the difference between a number and 2 is at least 12. 5. The sum of 3 times a number and 8 is between 2 and 20. 6. Eight less than twice a number is between -20 and -8. 7. Four subtracted from three times some number is between -4 and 14. 8. Nine subtracted from 5 times some number is between 1 and 11.​

Answer 1

Number be x

#1

$\\ \sf\hookrightarrow 2(x+6)-3\leqslant=13$

#2

$\\ \sf\hookrightarrow 3(x+4)-5\leqslant 10$

#3

$\\ \sf\hookrightarrow 5(x+3)\geqslant 5$

#4

$\\ \sf\hookrightarrow 3(x-2)\leqslant 12$

#5

$\\ \sf\hookrightarrow 2\leqslant 3x+8\leqslant 20$

#6

$\\ \sf\hookrightarrow -20\leqslant 2x-8\leqslant -8$

#7

$\\ \sf\hookrightarrow -4\leqslant 3x-4\leqslant 14$