Question 275353
1) -0.59 < (t/-4) -0.09

2) (z+5)/2 < (4-z)/7

1.) -.59 < (t/-4) - .09
Add .09 to both sides:
-.50 < t/-4

Multiply both sides by -4. When multiplying by a negative the direction of the inequality is reversed:

-4*-.5 > t*(-4/-4)
2 > t

2.) (z+5)/2 < (4-z)/7

Multiply both sides first by 2 and then by 7 to remove the fractions:

(z+5)*(2/2) < 2*(4-z)/7
7*(z+5) < 2*(4-z)*(7/7)
7(z+5) < 2*(4-z)
7z + 35 < 8 - 2z
7z+2z < 8 - 35
9z < -27
z < -3