Question

Solve the following inequality for m. Write your answer in simplest form. - 7 + 5(9m – 7) < 9m - 2 - 9 m < - 2 Submit Answer atte​

Answer 1

m <
`(36)/(31)`

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

-7+5*(9*m-7)-(9*m-2-9)<0

Step by step solution :

STEP 1

:

Equation at the end of step 1

(-7 + 5 • (9m - 7)) - (9m - 11) < 0

STEP 2

:

Equation at the end of step 2

36m - 31 < 0

STEP 3:

3.1 Divide both sides by 36

m-(31/36) < 0

Solve Basic Inequality :

3.2 Add 31/36 to both sides

m <
`(31)/(36)`