Solve for t.

–79≤t2/0–84

11 answers

It seems there might be a small confusion in the equation you've provided. The expression you've written, "–79≤t2/0–84," is not clear. It's possible you meant to write something similar to \( -79 \leq \frac{t^2}{0} - 84 \). However, dividing by zero (which is what happens when you divide \( t^2 \) by 0) is undefined in mathematics, which means we cannot interpret this expression in a meaningful way.

Could you please clarify or correct the equation? If it's meant to be an inequality, ensure that the denominator is not zero, and restructure the expression accordingly.

sorry.

Solve for t.
–79≤t/20–84

To solve the inequality

\[ -79 \leq \frac{t}{20} - 84, \]

we'll follow these steps:

  1. Isolate the fraction: Add 84 to both sides:

\[ -79 + 84 \leq \frac{t}{20}. \]

This simplifies to:

\[ 5 \leq \frac{t}{20}. \]

  1. Eliminate the fraction: Multiply both sides by 20 (note that since 20 is positive, the direction of the inequality does not change):

\[ 5 \times 20 \leq t. \]

This gives:

\[ 100 \leq t. \]

  1. Rewrite the result: We can express this as:

\[ t \geq 100. \]

Thus, the solution to the inequality is

\[ t \geq 100. \]

Solve for b.
–5 - –1b≥–20

To solve the inequality

\[ -5 - (-1b) \geq -20, \]

we'll follow these steps:

  1. Simplify the expression: The term \(-(-1b)\) simplifies to \(b\):

\[ -5 + b \geq -20. \]

  1. Isolate the variable \(b\): Add 5 to both sides of the inequality:

\[ b \geq -20 + 5. \]

This simplifies to:

\[ b \geq -15. \]

Thus, the solution to the inequality is

\[ b \geq -15. \]

Solve for n.
n–26+61<60

To solve the inequality

\[ n - 26 + 61 < 60, \]

follow these steps:

  1. Combine like terms: Simplify the left side:

\[ n + 35 < 60. \]

  1. Isolate the variable \(n\): Subtract 35 from both sides:

\[ n < 60 - 35. \]

This simplifies to:

\[ n < 25. \]

Thus, the solution to the inequality is

\[ n < 25. \]

Solve for m.
100<2–m

To solve the inequality

\[ 100 < 2 - m, \]

follow these steps:

  1. Isolate the term involving \(m\): Subtract 2 from both sides:

\[ 100 - 2 < -m. \]

This simplifies to:

\[ 98 < -m. \]

  1. Multiply both sides by -1: Remember, when multiplying or dividing by a negative number, you must reverse the inequality sign:

\[ -98 > m. \]

  1. Rewrite it:

\[ m < -98. \]

Thus, the solution to the inequality is

\[ m < -98. \]

Solve for n.
n/17+85<83

To solve the inequality

\[ \frac{n}{17} + 85 < 83, \]

follow these steps:

  1. Isolate the term with \(n\): Subtract 85 from both sides:

\[ \frac{n}{17} < 83 - 85. \]

This simplifies to:

\[ \frac{n}{17} < -2. \]

  1. Eliminate the fraction: Multiply both sides by 17 (since 17 is positive, the direction of the inequality does not change):

\[ n < -2 \times 17. \]

This gives:

\[ n < -34. \]

Thus, the solution to the inequality is

\[ n < -34. \]

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