6m-15_< 9? how do you solve this compound inequality?

6m - 15 ≤ 9
6m ≤ 24 ......... add 15 to both sides
m ≤ 4 ............. divide both sides by 6

Answer: m ≤ 4

10m > 84
m > 42/5 ........ divide both sides by 10

Answer: m > 42/5

6m -15 ≤ 9
6m ≤ 9 + 15............Add 15 to both sides
6m ≤ 24..................combine terms
m ≤ 4.....................divide by 6 both sides

10m > 84
m > 8.4..................divide by 10 both sides

take care of the inequality sign as though it have been an equivalent sign. 13.) 5x>2x+9 combine like words -2x -2x 3x>9 divide by 14.) -3x+3>9 combine like words -3x>6 divide by x>-2 with a detrimental answer, change the inequality sign around. 15.) 4x-5>2x+3 combine like words 2x>8 divide by

6m ≤ 9
m ≤ 9/6
m ≤ 3/2

10m > 84
m > 84/10
m > 42/5

6m-15≤ 9
6m≤24
m≤4

6m - 15 ≤ 84
6m ≤ 84 + 15
m ≤ 99/6
m ≤ 16.5

The first one is m=4
You add 15 to both sides, getting 6m<24
Divide 6 by both sides and your answer is 4

The second one is a little more difficult, you'll have a fraction or a decimal if your teacher allows. But divide both sides by 10 and your answer is 8.4