Question

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

Answer 1

Answer:

$g\geq 17$

$g > -10$

$g > -1$

Step-by-step 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:

$g > -1$