Question

Solve the following linear inequalities given in the first column and choose the appropriate results

Answer 1

`g\geq 17`

`g > -10`

`g > -1`

Explanation:

`7(g-19)\geq -14`

Divide both sides by 7:

`g-19\geq -2`

Add 19 to both sides:

`g\geq 17`

`3(7g+17) > -19+14g`

Expand brackets:

`21g+51 > -19+14g`

Subtract 14g from both sides:

`7g+51 > -19`

Subtract 51 from both sides:

`7g > -70`

Divide both sides by 7:

`g > -10`

`6(-6g+6) > -2(19g-17)`

Expand brackets:

`-36g+36 > -38g+34`

Add 38g to both sides:

`2g+36 > 34`

Subtract 36 from both sides:

`2g > -2`

Divide both sides by 2:

`g > -1`