Solve
7w - 5 < 1 - 3w
can someone help me ?​

w < 0.6

Step-by-step explanation:

In this problem, one is given an algebraic inequality. These types of inequalities can be solved using similar methods that one uses to solve an algebraic expression, in essence, one uses inverse operations. The only major difference between solving algebraic inequalities and algebraic expressions is that when one divides or multiplies by a negative number, one must remember to flip in the inequality sign to maintain the trueness of the equation. In this case, such a rule will not come into play.

7w - 5 < 1 - 3w

Inverse operations,

7w - 5 < 1 - 3w

+3w          +3w

10w - 5 < 1

     +5    +5

10w < 6

/10     /10

w < 0.6

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

she drove 134 miles

step-by-step explanation: