Question

Anyone Know how to do this kind of work that will help me through these problems would be really helpful!!!!!!!! 7( x - 1 ) ≥ -14

Answer 1

divide by 7 get
\[x-1\geq -2\] then add 1 to both sides to get
\[x\geq -1\]

Answer 2

\[x-1 \ge - \frac{14}{7}\]
\[x-1 \ge - 2\]
Add 1 on both sides,
\[x \ge -2 +1\]
\[x \ge Answer\]

Answer 3

-3( x - 4 ) - 2( x + 4) ≤ 9

Answer 4

7x-7>=-14; 7x>=-14+7; x>=-7/7; x>=-1

Answer 5

-3( x - 4 ) - 2( x + 4) ≤ 9

Answer 6

\[x\geq -1\] as before

Answer 7

5( x + 1) - 3( x - 1) > -9

Answer 8

\[x\geq -\frac{17}{2}\]

Answer 9

-3x+12-2x-8=<-9; -5x+4=<-9; -5x=<-4-9; -5x=<-13; (x-1)
x>=13/5

Answer 10

4(x + 3) > 6(x - 5)

Answer 11

4x+12>6x-30; 4x-6x>-30-12; -2x>-42 (x-1) x<42/2; x<21

Answer 12

x -1 >= -2
->x >= -1

Answer 13

3x + 5 < 5

Answer 14

In general you want to approach inequalities the same way that you would a simple equality however when you multiply or divide by a negative then you must change the direction of the inequality. i.e.) -x > 5 becomes x < 5.

Answer 15

ok for 3x+ 5< 5 I got x ≥ -3
is that right ?

Answer 16

sorry -5(x + 3) ≥ 0 I got x ≥ -3