Lydia solved the inequality 14<−4a−8 for a and is now trying to determine which numbers satisfy this inequality. Move the values of a that satisfy this linear inequality into the box below.

-8, -6, -4, 4, 6, 8

-4 and 4

Step-by-step explanation:

Given the inequality 14<−4a−8 we are to find the range of values of a in the inequality

Given

14<−4a−8

Add 8 to both sides

14+8<−4a−8+8

22<-4a

Divide both sides by -4

22/-4 >-4a/4

22/-4 >a

5.5>a

This means that a<5.5

The values that satisfies the inequality are values less than 5.5. This includes

-4 and 4

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.