Solve for m. – 32–m≥67

Answer 1

To solve for m, you need to isolate the variable m on one side of the inequality.

Step 1: Begin by adding 32 to both sides of the inequality to eliminate the negative sign on the left side:
-32 - m + 32 ≥ 67 + 32

Simplifying this expression, we get:
-m ≥ 99

Step 2: Next, multiply both sides of the inequality by -1. Remember that when you multiply or divide an inequality by a negative number, you must reverse the inequality symbol:
(-1)(-m) ≤ (-1)(99)

Simplifying this expression, we get:
m ≤ -99

So, the solution for m is m ≤ -99.

Answer 2

Solve for d. 95–d≥52

Answer 3

To solve for d, you need to isolate the variable d on one side of the inequality.

Step 1: Begin by subtracting 95 from both sides of the inequality to eliminate the constant term on the left side:
95 - d - 95 ≥ 52 - 95

Simplifying this expression, we get:
-d ≥ -43

Step 2: Next, multiply both sides of the inequality by -1. Remember that when you multiply or divide an inequality by a negative number, you must reverse the inequality symbol:
(-1)(-d) ≤ (-1)(-43)

Simplifying this expression, we get:
d ≤ 43

So, the solution for d is d ≤ 43.

Answer 4

Solve for b. b/– 50 +68>69

Answer 5

To solve for b, you need to isolate the variable b on one side of the inequality.

Step 1: Begin by adding 50 to both sides of the inequality to eliminate the negative sign on the left side:
b / -50 + 68 + 50 > 69 + 50

Simplifying this expression, we get:
b / -50 + 118 > 119

Step 2: Rewrite the expression b / -50 as -b / 50, to isolate the variable b on the left side of the inequality:
-b / 50 + 118 > 119

Step 3: Subtract 118 from both sides of the inequality:
-b / 50 > 119 - 118

Simplifying this expression, we get:
-b / 50 > 1

Step 4: Multiply both sides of the inequality by 50 to eliminate the fraction:
(50)( -b / 50 ) > (50)( 1 )

Simplifying this expression, we get:
-b > 50

Step 5: Multiply both sides of the inequality by -1. Remember that when you multiply or divide an inequality by a negative number, you must reverse the inequality symbol:
(-1)(-b) < (-1)(50)

Simplifying this expression, we get:
b < -50

So, the solution for b is b < -50.

Answer 6

Solve for j. j/– 1 –65≤ – 24

Answer 7

To solve for j, you need to isolate the variable j on one side of the inequality.

Step 1: Begin by adding 65 to both sides of the inequality to eliminate the constant term on the left side:
j / -1 - 65 + 65 ≤ -24 + 65

Simplifying this expression, we get:
j / -1 ≤ 41

Step 2: Rewrite the expression j / -1 as -j to isolate the variable j on the left side of the inequality:
-j ≤ 41

Step 3: Multiply both sides of the inequality by -1. Remember that when you multiply or divide an inequality by a negative number, you must reverse the inequality symbol:
(-1)(-j) ≥ (-1)(41)

Simplifying this expression and reversing the inequality symbol, we get:
j ≥ -41

So, the solution for j is j ≥ -41.

Answer 8

Solve for a. – 88–a≤ – 59

Answer 9

To solve for a, you need to isolate the variable a on one side of the inequality.

Step 1: Begin by adding 88 to both sides of the inequality to eliminate the negative sign on the left side:
-88 - a + 88 ≤ -59 + 88

Simplifying this expression, we get:
-a ≤ 29

Step 2: Multiply both sides of the inequality by -1. Remember that when you multiply or divide an inequality by a negative number, you must reverse the inequality symbol:
(-1)(-a) ≥ (-1)(29)

Simplifying this expression, we get:
a ≥ -29

So, the solution for a is a ≥ -29.

Answer 10

Solve for d. – 39+ – 1d≤ – 33

Answer 11

To solve for d, you need to isolate the variable d on one side of the inequality.

Step 1: Begin by combining like terms on the left side of the inequality:
-39 + (-1d) ≤ -33

Simplifying this expression, we get:
-39 - d ≤ -33

Step 2: Add d to both sides of the inequality to eliminate the negative sign on the left side:
-39 - d + d ≤ -33 + d

Simplifying this expression, we get:
-39 ≤ -33 + d

Step 3: Combine the constant terms on the right side of the inequality:
-39 ≤ d - 33

Step 4: Add 33 to both sides of the inequality to isolate the variable d:
-39 + 33 ≤ d - 33 + 33

Simplifying this expression, we get:
-6 ≤ d

So, the solution for d is d ≥ -6.