How do you do these problems...

1) y/2+5>8

2) -4z+8<-27+z

3) 3(5+x)<_18

I need help mostly on #2 but also on the others. Oh and on #3 the sign is an less than or equal to sign.

1 answer

Treat the inequality like an equation. The only exception is when you multiply/divide both sides by a negative number. Then the inequality reverses.

-4z+8<-27+z

Add 4z and 27 to both sides.

35 < 5z

The "less than or equal" sign can be obtained by pressing your <alt/option> key along with the <comma> key (at least on a Mac). Likewise, the "more than or equal" sign can be obtained by pressing your <alt/option> key along with the <period> key.

3(5+x)≤18

Divide both sides by 3.

5 + x ≤ 6

y/2+5>8

Mulitply both sides by 2.

y + 10 > 16

You should be able to take them from here.

I hope this helps. Thanks for asking.